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18957120345 = 3252971204599
BaseRepresentation
bin10001101001111011…
…101011001101011001
31210221011011111022100
4101221323223031121
5302311010322340
612413032514013
71240526602302
oct215173531531
953834144270
1018957120345
118048889109
12381084b909
131a31606297
14cbb9b57a9
1575e419830
hex469eeb359

18957120345 has 48 divisors (see below), whose sum is σ = 34471008000. Its totient is φ = 9624289920.

The previous prime is 18957120319. The next prime is 18957120409. The reversal of 18957120345 is 54302175981.

18957120345 is a `hidden beast` number, since 18 + 9 + 571 + 20 + 3 + 45 = 666.

It is not a de Polignac number, because 18957120345 - 221 = 18955023193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 18957120345.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9645 + ... + 194954.

It is an arithmetic number, because the mean of its divisors is an integer number (718146000).

Almost surely, 218957120345 is an apocalyptic number.

18957120345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18957120345 is a deficient number, since it is larger than the sum of its proper divisors (15513887655).

18957120345 is a wasteful number, since it uses less digits than its factorization.

18957120345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204710 (or 204707 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 18957120345 in words is "eighteen billion, nine hundred fifty-seven million, one hundred twenty thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 29 45 71 87 145 213 261 355 435 639 1065 1305 2059 3195 6177 10295 18531 30885 92655 204599 613797 1022995 1841391 3068985 5933371 9206955 14526529 17800113 29666855 43579587 53400339 72632645 89000565 130738761 217897935 267001695 421269341 653693805 1263808023 2106346705 3791424069 6319040115 18957120345