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76439713056 = 2537219782487
BaseRepresentation
bin100011100110000101…
…0010111010100100000
321022022012210202110120
41013030022113110200
52223022031304211
655041012200240
75344150561200
oct1071412272440
9238265722416
1076439713056
112a466252883
1212993609080
13729264aa55
1439b1da6400
151ec5b53d06
hex11cc297520

76439713056 has 144 divisors (see below), whose sum is σ = 234601811136. Its totient is φ = 21728792064.

The previous prime is 76439713043. The next prime is 76439713069. The reversal of 76439713056 is 65031793467.

It is an interprime number because it is at equal distance from previous prime (76439713043) and next prime (76439713069).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 885445 + ... + 967931.

It is an arithmetic number, because the mean of its divisors is an integer number (1629179244).

Almost surely, 276439713056 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 76439713056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117300905568).

76439713056 is an abundant number, since it is smaller than the sum of its proper divisors (158162098080).

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

76439713056 is a wasteful number, since it uses less digits than its factorization.

76439713056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82711 (or 82696 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 51.

The spelling of 76439713056 in words is "seventy-six billion, four hundred thirty-nine million, seven hundred thirteen thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 197 224 294 336 392 394 588 591 672 784 788 1176 1182 1379 1568 1576 2352 2364 2758 3152 4137 4704 4728 5516 6304 8274 9456 9653 11032 16548 18912 19306 22064 28959 33096 38612 44128 57918 66192 77224 82487 115836 132384 154448 164974 231672 247461 308896 329948 463344 494922 577409 659896 926688 989844 1154818 1319792 1732227 1979688 2309636 2639584 3464454 3959376 4041863 4619272 6928908 7918752 8083726 9238544 12125589 13857816 16167452 16249939 18477088 24251178 27715632 32334904 32499878 48502356 48749817 55431264 64669808 64999756 97004712 97499634 113749573 129339616 129999512 194009424 194999268 227499146 259999024 341248719 388018848 389998536 454998292 519998048 682497438 779997072 796247011 909996584 1364994876 1559994144 1592494022 1819993168 2388741033 2729989752 3184988044 3639986336 4777482066 5459979504 6369976088 9554964132 10919959008 12739952176 19109928264 25479904352 38219856528 76439713056