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18997608672 = 253373141139
BaseRepresentation
bin10001101100010110…
…001000000011100000
31211000222100111212000
4101230112020003200
5302401341434142
612421040404000
71241531003130
oct215426100340
954028314760
1018997608672
118069722639
123822316600
131a39b11183
14cc3114ac0
15762c6614c
hex46c5880e0

18997608672 has 96 divisors (see below), whose sum is σ = 63325382400. Its totient is φ = 5427886464.

The previous prime is 18997608631. The next prime is 18997608677. The reversal of 18997608672 is 27680679981.

18997608672 is a `hidden beast` number, since 18 + 9 + 9 + 7 + 608 + 6 + 7 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18997608677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1564522 + ... + 1576617.

It is an arithmetic number, because the mean of its divisors is an integer number (659639400).

Almost surely, 218997608672 is an apocalyptic number.

18997608672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18997608672 is an abundant number, since it is smaller than the sum of its proper divisors (44327773728).

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

18997608672 is a wasteful number, since it uses less digits than its factorization.

18997608672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141165 (or 3141151 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 18997608672 in words is "eighteen billion, nine hundred ninety-seven million, six hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 3141139 6282278 9423417 12564556 18846834 21987973 25129112 28270251 37693668 43975946 50258224 56540502 65963919 75387336 84810753 87951892 100516448 113081004 131927838 150774672 169621506 175903784 197891757 226162008 263855676 301549344 339243012 351807568 395783514 452324016 527711352 593675271 678486024 703615136 791567028 904648032 1055422704 1187350542 1356972048 1583134056 2110845408 2374701084 2713944096 3166268112 4749402168 6332536224 9498804336 18997608672