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76872835920 = 2435674780649
BaseRepresentation
bin100011110010111111…
…0100110001101010000
321100102101210200100010
41013211332212031100
52224413421222140
655152003354520
75360660216106
oct1074576461520
9240371720303
1076872835920
112a668791461
1212a94682a40
1373312b887a
143a1370dc76
151eedbab880
hex11e5fa6350

76872835920 has 80 divisors (see below), whose sum is σ = 241862644800. Its totient is φ = 20193457152.

The previous prime is 76872835883. The next prime is 76872835937. The reversal of 76872835920 is 2953827867.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 2374245 + ... + 2406404.

It is an arithmetic number, because the mean of its divisors is an integer number (3023283060).

Almost surely, 276872835920 is an apocalyptic number.

It is an amenable number.

76872835920 is an abundant number, since it is smaller than the sum of its proper divisors (164989808880).

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

76872835920 is a wasteful number, since it uses less digits than its factorization.

76872835920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4780732 (or 4780726 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 76872835920 in words is "seventy-six billion, eight hundred seventy-two million, eight hundred thirty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2680 3216 4020 5360 8040 16080 4780649 9561298 14341947 19122596 23903245 28683894 38245192 47806490 57367788 71709735 76490384 95612980 114735576 143419470 191225960 229471152 286838940 320303483 382451920 573677880 640606966 960910449 1147355760 1281213932 1601517415 1921820898 2562427864 3203034830 3843641796 4804552245 5124855728 6406069660 7687283592 9609104490 12812139320 15374567184 19218208980 25624278640 38436417960 76872835920