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76900368896 = 2913431391933
BaseRepresentation
bin100011110011110011…
…1101000001000000000
321100111022121111110222
41013213213220020000
52224442443301041
655154425442212
75361443231141
oct1074747501000
9240438544428
1076900368896
112a68228738a
1212aa1940368
137336c08980
143a17239ac8
1520012e974b
hex11e79e8200

76900368896 has 160 divisors (see below), whose sum is σ = 170624287680. Its totient is φ = 34399862784.

The previous prime is 76900368893. The next prime is 76900368931. The reversal of 76900368896 is 69886300967.

It is not an unprimeable number, because it can be changed into a prime (76900368893) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39781946 + ... + 39783878.

It is an arithmetic number, because the mean of its divisors is an integer number (1066401798).

Almost surely, 276900368896 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 76900368896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85312143840).

76900368896 is an abundant number, since it is smaller than the sum of its proper divisors (93723918784).

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

76900368896 is a wasteful number, since it uses less digits than its factorization.

76900368896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 62.

The spelling of 76900368896 in words is "seventy-six billion, nine hundred million, three hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 139 172 208 256 278 344 416 512 556 559 688 832 1112 1118 1376 1664 1807 1933 2224 2236 2752 3328 3614 3866 4448 4472 5504 5977 6656 7228 7732 8896 8944 11008 11954 14456 15464 17792 17888 22016 23908 25129 28912 30928 35584 35776 47816 50258 57824 61856 71168 71552 77701 83119 95632 100516 115648 123712 143104 155402 166238 191264 201032 231296 247424 268687 286208 310804 332476 382528 402064 462592 494848 537374 621608 664952 765056 804128 925184 989696 1074748 1080547 1243216 1329904 1530112 1608256 2149496 2161094 2486432 2659808 3060224 3216512 3492931 4298992 4322188 4972864 5319616 6433024 6985862 8597984 8644376 9945728 10639232 11553541 12866048 13971724 17195968 17288752 19891456 21278464 23107082 27943448 34391936 34577504 39782912 42556928 46214164 55886896 68783872 69155008 92428328 111773792 137567744 138310016 150196033 184856656 223547584 276620032 300392066 369713312 447095168 553240064 600784132 739426624 894190336 1201568264 1478853248 1788380672 2403136528 2957706496 4806273056 5915412992 9612546112 19225092224 38450184448 76900368896