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18957440331 = 3229227319973
BaseRepresentation
bin10001101001111100…
…111001010101001011
31210221011202202020200
4101221330321111023
5302311101042311
612413043423243
71240532404224
oct215174712513
953834682220
1018957440331
118048a87565
123810984b23
131a316b8b1b
14cbba5a24b
1575e47e556
hex469f3954b

18957440331 has 24 divisors (see below), whose sum is σ = 28452088080. Its totient is φ = 12148696896.

The previous prime is 18957440279. The next prime is 18957440353. The reversal of 18957440331 is 13304475981.

18957440331 is a `hidden beast` number, since 1 + 8 + 9 + 574 + 40 + 3 + 31 = 666.

It is not a de Polignac number, because 18957440331 - 26 = 18957440267 is a prime.

It is a super-2 number, since 2×189574403312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18957441331) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 100740 + ... + 219233.

It is an arithmetic number, because the mean of its divisors is an integer number (1185503670).

Almost surely, 218957440331 is an apocalyptic number.

18957440331 is a deficient number, since it is larger than the sum of its proper divisors (9494647749).

18957440331 is a wasteful number, since it uses less digits than its factorization.

18957440331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320235 (or 320232 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 18957440331 in words is "eighteen billion, nine hundred fifty-seven million, four hundred forty thousand, three hundred thirty-one".

Divisors: 1 3 9 29 87 227 261 681 2043 6583 19749 59247 319973 959919 2879757 9279217 27837651 72633871 83512953 217901613 653704839 2106382259 6319146777 18957440331