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4492376064 = 211321122157
BaseRepresentation
bin1000010111100010…
…00011100000000000
3102121002012100102200
410023301003200000
533200022013224
62021435113200
7216216365211
oct41361034000
912532170380
104492376064
1119a59136a0
12a545a2800
135679375b7
143088c3408
151b45d45c9
hex10bc43800

4492376064 has 144 divisors (see below), whose sum is σ = 14154973560. Its totient is φ = 1361264640.

The previous prime is 4492376059. The next prime is 4492376069. The reversal of 4492376064 is 4606732944.

It is a happy number.

4492376064 is a `hidden beast` number, since 4 + 4 + 9 + 2 + 37 + 606 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4492376059) and next prime (4492376069).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4492376069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191674 + ... + 213830.

Almost surely, 24492376064 is an apocalyptic number.

4492376064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4492376064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7077486780).

4492376064 is an abundant number, since it is smaller than the sum of its proper divisors (9662597496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4492376064 is a wasteful number, since it uses less digits than its factorization.

4492376064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22196 (or 22173 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 4492376064 is about 67025.1897722043. The cubic root of 4492376064 is about 1650.0307388213.

The spelling of 4492376064 in words is "four billion, four hundred ninety-two million, three hundred seventy-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2048 2112 2304 2816 3072 3168 4224 4608 5632 6144 6336 8448 9216 11264 12672 16896 18432 22157 22528 25344 33792 44314 50688 66471 67584 88628 101376 132942 177256 199413 202752 243727 265884 354512 398826 487454 531768 709024 731181 797652 974908 1063536 1418048 1462362 1595304 1949816 2127072 2193543 2836096 2924724 3190608 3899632 4254144 4387086 5672192 5849448 6381216 7799264 8508288 8774172 11344384 11698896 12762432 15598528 17016576 17548344 22688768 23397792 25524864 31197056 34033152 35096688 45377536 46795584 51049728 62394112 68066304 70193376 93591168 102099456 124788224 136132608 140386752 187182336 204198912 249576448 280773504 374364672 408397824 499152896 561547008 748729344 1123094016 1497458688 2246188032 4492376064