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74645468923104 = 2533301032869987
BaseRepresentation
bin10000111110001111000000…
…101010001100010011100000
3100210022001000001222010212000
4100332033000222030103200
534240442410021014404
6422431353252404000
721502646206664202
oct2076170052142340
9323261001863760
1074645468923104
1121869a69227192
128456960616600
133286064564961
141460c07aa0772
15896a774d7339
hex43e3c0a8c4e0

74645468923104 has 96 divisors (see below), whose sum is σ = 217723259255040. Its totient is φ = 24880987748736.

The previous prime is 74645468923097. The next prime is 74645468923141. The reversal of 74645468923104 is 40132986454647.

74645468923104 is a `hidden beast` number, since 7 + 4 + 6 + 4 + 546 + 89 + 2 + 3 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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, 24573999 + ... + 27443985.

It is an arithmetic number, because the mean of its divisors is an integer number (2267950617240).

It is a 1-persistent number, because it is pandigital, but 2⋅74645468923104 = 149290937846208 is not.

Almost surely, 274645468923104 is an apocalyptic number.

It is an amenable number.

74645468923104 is an abundant number, since it is smaller than the sum of its proper divisors (143077790331936).

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

74645468923104 is a wasteful number, since it uses less digits than its factorization.

74645468923104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900109 (or 2900095 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 74645468923104 in words is "seventy-four trillion, six hundred forty-five billion, four hundred sixty-eight million, nine hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 30103 60206 90309 120412 180618 240824 270927 361236 481648 541854 722472 812781 963296 1083708 1444944 1625562 2167416 2869987 2889888 3251124 4334832 5739974 6502248 8609961 8669664 11479948 13004496 17219922 22959896 25829883 26008992 34439844 45919792 51659766 68879688 77489649 91839584 103319532 137759376 154979298 206639064 275518752 309958596 413278128 619917192 826556256 1239834384 2479668768 86395218661 172790437322 259185655983 345580874644 518371311966 691161749288 777556967949 1036742623932 1382323498576 1555113935898 2073485247864 2332670903847 2764646997152 3110227871796 4146970495728 4665341807694 6220455743592 8293940991456 9330683615388 12440911487184 18661367230776 24881822974368 37322734461552 74645468923104