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65004157728 = 25321713276993
BaseRepresentation
bin111100100010100011…
…001011101100100000
320012210020210100122100
4330202203023230200
52031112031021403
645510144410400
74460602136556
oct744243135440
9205706710570
1065004157728
1125628174904
1210721916a00
13618c413373
143209317bd6
151a56c2b2a3
hexf228cbb20

65004157728 has 72 divisors (see below), whose sum is σ = 195729445548. Its totient is φ = 20393459712.

The previous prime is 65004157723. The next prime is 65004157769. The reversal of 65004157728 is 82775140056.

65004157728 is a `hidden beast` number, since 6 + 50 + 0 + 4 + 1 + 577 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63328729104 + 1675428624 = 251652^2 + 40932^2 .

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

It is not an unprimeable number, because it can be changed into a prime (65004157723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6633601 + ... + 6643392.

Almost surely, 265004157728 is an apocalyptic number.

65004157728 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

65004157728 is an abundant number, since it is smaller than the sum of its proper divisors (130725287820).

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

65004157728 is a wasteful number, since it uses less digits than its factorization.

65004157728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13277026 (or 13277015 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 65004157728 in words is "sixty-five billion, four million, one hundred fifty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 13276993 26553986 39830979 53107972 79661958 106215944 119492937 159323916 212431888 225708881 238985874 318647832 424863776 451417762 477971748 637295664 677126643 902835524 955943496 1274591328 1354253286 1805671048 1911886992 2031379929 2708506572 3611342096 3823773984 4062759858 5417013144 7222684192 8125519716 10834026288 16251039432 21668052576 32502078864 65004157728