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76831000440 = 23352341678959
BaseRepresentation
bin100011110001101111…
…1000000011101111000
321100022111002012211220
41013203133000131320
52224322214003230
655143510552040
75356641504555
oct1074337003570
9240274065756
1076831000440
112a647107887
1212a82668620
13732572b74c
143a0bd3da2c
151eea195d10
hex11e37c0778

76831000440 has 128 divisors (see below), whose sum is σ = 246381004800. Its totient is φ = 19119457280.

The previous prime is 76831000339. The next prime is 76831000459. The reversal of 76831000440 is 4400013867.

It is a super-2 number, since 2×768310004402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226320 + ... + 452639.

It is an arithmetic number, because the mean of its divisors is an integer number (1924851600).

Almost surely, 276831000440 is an apocalyptic number.

76831000440 is the 226320-th pentagonal number.

It is an amenable number.

76831000440 is an abundant number, since it is smaller than the sum of its proper divisors (169550004360).

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

76831000440 is a wasteful number, since it uses less digits than its factorization.

76831000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679037 (or 679033 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 76831000440 in words is "seventy-six billion, eight hundred thirty-one million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 41 46 60 69 82 92 115 120 123 138 164 184 205 230 246 276 328 345 410 460 492 552 615 690 820 920 943 984 1230 1380 1640 1886 2460 2760 2829 3772 4715 4920 5658 7544 9430 11316 14145 18860 22632 28290 37720 56580 113160 678959 1357918 2036877 2715836 3394795 4073754 5431672 6789590 8147508 10184385 13579180 15616057 16295016 20368770 27158360 27837319 31232114 40737540 46848171 55674638 62464228 78080285 81475080 83511957 93696342 111349276 124928456 139186595 156160570 167023914 187392684 222698552 234240855 278373190 312321140 334047828 374785368 417559785 468481710 556746380 624642280 640258337 668095656 835119570 936963420 1113492760 1280516674 1670239140 1873926840 1920775011 2561033348 3201291685 3340478280 3841550022 5122066696 6402583370 7683100044 9603875055 12805166740 15366200088 19207750110 25610333480 38415500220 76831000440