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6742508064 = 253160943651
BaseRepresentation
bin1100100011110001…
…01000001000100000
3122101220012220020220
412101320220020200
5102302040224224
63033015203040
7326041241625
oct62170501040
918356186226
106742508064
11294aa74116
121382076480
13835b6c456
1447d69034c
15296e05279
hex191e28220

6742508064 has 48 divisors (see below), whose sum is σ = 17710489440. Its totient is φ = 2246054400.

The previous prime is 6742508063. The next prime is 6742508077. The reversal of 6742508064 is 4608052476.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×67425080642 = 90922829986210056192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6742508063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132639 + ... + 176289.

It is an arithmetic number, because the mean of its divisors is an integer number (368968530).

Almost surely, 26742508064 is an apocalyptic number.

It is an amenable number.

6742508064 is an abundant number, since it is smaller than the sum of its proper divisors (10967981376).

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

6742508064 is a wasteful number, since it uses less digits than its factorization.

6742508064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45273 (or 45265 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 6742508064 is about 82112.7764967182. The cubic root of 6742508064 is about 1889.1821124509.

The spelling of 6742508064 in words is "six billion, seven hundred forty-two million, five hundred eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1609 3218 4827 6436 9654 12872 19308 25744 38616 43651 51488 77232 87302 130953 154464 174604 261906 349208 523812 698416 1047624 1396832 2095248 4190496 70234459 140468918 210703377 280937836 421406754 561875672 842813508 1123751344 1685627016 2247502688 3371254032 6742508064