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18870374385 = 345296132621
BaseRepresentation
bin10001100100110000…
…110000111111110001
31210201002221100020000
4101210300300333301
5302121303440020
612400253340213
71235424351522
oct214460607761
953632840200
1018870374385
11800391a635
1237a7797669
131a19653505
14cb0274849
157569d2090
hex464c30ff1

18870374385 has 80 divisors (see below), whose sum is σ = 35063796240. Its totient is φ = 9697605120.

The previous prime is 18870374363. The next prime is 18870374389. The reversal of 18870374385 is 58347307881.

It can be written as a sum of positive squares in 8 ways, for example, as 1125736704 + 17744637681 = 33552^2 + 133209^2 .

It is not a de Polignac number, because 18870374385 - 28 = 18870374129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18870374389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7198375 + ... + 7200995.

It is an arithmetic number, because the mean of its divisors is an integer number (438297453).

Almost surely, 218870374385 is an apocalyptic number.

18870374385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18870374385 is a deficient number, since it is larger than the sum of its proper divisors (16193421855).

18870374385 is a wasteful number, since it uses less digits than its factorization.

18870374385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 18870374385 in words is "eighteen billion, eight hundred seventy million, three hundred seventy-four thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 27 29 45 81 87 135 145 261 405 435 613 783 1305 1839 2349 2621 3065 3915 5517 7863 9195 11745 13105 16551 17777 23589 27585 39315 49653 53331 70767 76009 82755 88885 117945 159993 212301 228027 248265 266655 353835 380045 479979 684081 799965 1061505 1140135 1439937 1606673 2052243 2399895 3420405 4820019 6156729 7199685 8033365 10261215 14460057 24100095 30783645 43380171 46593517 72300285 130140513 139780551 216900855 232967585 419341653 650702565 698902755 1258024959 2096708265 3774074877 6290124795 18870374385