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4996151064 = 233397389613
BaseRepresentation
bin1001010011100101…
…10011011100011000
3110220012010202211000
410221302303130120
540213003313224
62143432505000
7234544404042
oct45162633430
913805122730
104996151064
112134219273
12b7524b160
13618111a08
1435577ca92
151e39460c9
hex129cb3718

4996151064 has 128 divisors (see below), whose sum is σ = 14080248000. Its totient is φ = 1641295872.

The previous prime is 4996151021. The next prime is 4996151201. The reversal of 4996151064 is 4601516994.

It is a happy number.

4996151064 is a `hidden beast` number, since 49 + 96 + 1 + 510 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8150022 + ... + 8150634.

Almost surely, 24996151064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4996151064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7040124000).

4996151064 is an abundant number, since it is smaller than the sum of its proper divisors (9084096936).

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

4996151064 is a wasteful number, since it uses less digits than its factorization.

4996151064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 4996151064 is about 70683.4567915294. The cubic root of 4996151064 is about 1709.5370615093.

It can be divided in two parts, 49961 and 51064, that added together give a triangular number (101025 = T449).

The spelling of 4996151064 in words is "four billion, nine hundred ninety-six million, one hundred fifty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 194 216 291 388 389 582 613 776 778 873 1164 1167 1226 1556 1746 1839 2328 2334 2452 2619 3112 3492 3501 3678 4668 4904 5238 5517 6984 7002 7356 9336 10476 10503 11034 14004 14712 16551 20952 21006 22068 28008 33102 37733 42012 44136 59461 66204 75466 84024 113199 118922 132408 150932 178383 226398 237844 238457 301864 339597 356766 452796 475688 476914 535149 679194 713532 715371 905592 953828 1018791 1070298 1358388 1427064 1430742 1605447 1907656 2037582 2140596 2146113 2716776 2861484 3210894 4075164 4281192 4292226 5722968 6421788 6438339 8150328 8584452 12843576 12876678 17168904 23130329 25753356 46260658 51506712 69390987 92521316 138781974 185042632 208172961 277563948 416345922 555127896 624518883 832691844 1249037766 1665383688 2498075532 4996151064