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18624064395264 = 211324379124339
BaseRepresentation
bin1000011110000010000001…
…01111100001100000000000
32102221102222001212122120120
410033001000233201200000
54420114040441122024
6103335435502540240
73631354451243406
oct417010057414000
972842861778516
1018624064395264
115a3046a906119
122109575597680
13a5131b131903
144855a3a51476
152246c46d7479
hex10f040be1800

18624064395264 has 96 divisors (see below), whose sum is σ = 49654482696000. Its totient is φ = 6207716892672.

The previous prime is 18624064395197. The next prime is 18624064395269. The reversal of 18624064395264 is 46259346042681.

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

It is a junction number, because it is equal to n+sod(n) for n = 18624064395198 and 18624064395207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18624064395269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149722407 + ... + 149846745.

It is an arithmetic number, because the mean of its divisors is an integer number (517234194750).

Almost surely, 218624064395264 is an apocalyptic number.

It is an amenable number.

18624064395264 is an abundant number, since it is smaller than the sum of its proper divisors (31030418300736).

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

18624064395264 is a wasteful number, since it uses less digits than its factorization.

18624064395264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148743 (or 148723 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 60.

The spelling of 18624064395264 in words is "eighteen trillion, six hundred twenty-four billion, sixty-four million, three hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 24379 48758 73137 97516 124339 146274 195032 248678 292548 373017 390064 497356 585096 746034 780128 994712 1170192 1492068 1560256 1989424 2340384 2984136 3120512 3978848 4680768 5968272 6241024 7957696 9361536 11936544 12482048 15915392 18723072 23873088 24964096 31830784 37446144 47746176 49928192 63661568 74892288 95492352 127323136 149784576 190984704 254646272 381969408 763938816 3031260481 6062520962 9093781443 12125041924 18187562886 24250083848 36375125772 48500167696 72750251544 97000335392 145500503088 194000670784 291001006176 388001341568 582002012352 776002683136 1164004024704 1552005366272 2328008049408 3104010732544 4656016098816 6208021465088 9312032197632 18624064395264