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81930774528 = 211324445029
BaseRepresentation
bin100110001001101110…
…1000110100000000000
321211110220012120201200
41030103131012200000
52320243234241103
6101345524501200
75630215043601
oct1142335064000
9254426176650
1081930774528
1131823871609
1213a6654a800
137959152055
143d73373da8
1521e7c5a0a3
hex1313746800

81930774528 has 72 divisors (see below), whose sum is σ = 236631172050. Its totient is φ = 27310252032.

The previous prime is 81930774517. The next prime is 81930774533. The reversal of 81930774528 is 82547703918.

It is a happy number.

81930774528 is a `hidden beast` number, since 8 + 19 + 30 + 7 + 74 + 528 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75225129984 + 6705644544 = 274272^2 + 81888^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2204083 + ... + 2240946.

Almost surely, 281930774528 is an apocalyptic number.

It is an amenable number.

81930774528 is an abundant number, since it is smaller than the sum of its proper divisors (154700397522).

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

81930774528 is a wasteful number, since it uses less digits than its factorization.

81930774528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4445057 (or 4445034 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 81930774528 in words is "eighty-one billion, nine hundred thirty million, seven hundred seventy-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 4445029 8890058 13335087 17780116 26670174 35560232 40005261 53340348 71120464 80010522 106680696 142240928 160021044 213361392 284481856 320042088 426722784 568963712 640084176 853445568 1137927424 1280168352 1706891136 2275854848 2560336704 3413782272 4551709696 5120673408 6827564544 9103419392 10241346816 13655129088 20482693632 27310258176 40965387264 81930774528