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76925106432 = 2836412193
BaseRepresentation
bin100011110100100010…
…1111111100100000000
321100120001011022000000
41013221011333210000
52230020311401212
655201112000000
75362163421216
oct1075105774400
9240501138000
1076925106432
112a695243029
1212aaa090000
13733c08a575
143a1a638cb6
1520035841dc
hex11e917f900

76925106432 has 126 divisors (see below), whose sum is σ = 230219829462. Its totient is φ = 25641639936.

The previous prime is 76925106407. The next prime is 76925106451. The reversal of 76925106432 is 23460152967.

76925106432 is a `hidden beast` number, since 7 + 6 + 92 + 510 + 6 + 43 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74542104576 + 2383001856 = 273024^2 + 48816^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 19473 + ... + 392720.

Almost surely, 276925106432 is an apocalyptic number.

76925106432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76925106432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115109914731).

76925106432 is an abundant number, since it is smaller than the sum of its proper divisors (153294723030).

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

76925106432 is an frugal number, since it uses more digits than its factorization.

76925106432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412227 (or 412198 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 76925106432 in words is "seventy-six billion, nine hundred twenty-five million, one hundred six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2304 2592 2916 3456 3888 5184 5832 6912 7776 10368 11664 15552 20736 23328 31104 46656 62208 93312 186624 412193 824386 1236579 1648772 2473158 3297544 3709737 4946316 6595088 7419474 9892632 11129211 13190176 14838948 19785264 22258422 26380352 29677896 33387633 39570528 44516844 52760704 59355792 66775266 79141056 89033688 100162899 105521408 118711584 133550532 158282112 178067376 200325798 237423168 267101064 300488697 316564224 356134752 400651596 474846336 534202128 600977394 712269504 801303192 949692672 1068404256 1201954788 1424539008 1602606384 2136808512 2403909576 2849078016 3205212768 4273617024 4807819152 6410425536 8547234048 9615638304 12820851072 19231276608 25641702144 38462553216 76925106432