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18800379045 = 35572457691
BaseRepresentation
bin10001100000100101…
…110000010010100101
31210112020020012200000
4101200211300102211
5302000344112140
612345313211513
71233614404500
oct214045602245
953466205600
1018800379045
117a78362048
123788260b99
131a07cb6b56
14ca4c54137
157507a7a30
hex4609704a5

18800379045 has 144 divisors (see below), whose sum is σ = 39454728768. Its totient is φ = 8563242240.

The previous prime is 18800379043. The next prime is 18800379079. The reversal of 18800379045 is 54097300881.

It is not a de Polignac number, because 18800379045 - 21 = 18800379043 is a prime.

It is a super-2 number, since 2×188003790452 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18800379043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27207150 + ... + 27207840.

It is an arithmetic number, because the mean of its divisors is an integer number (273991172).

Almost surely, 218800379045 is an apocalyptic number.

18800379045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18800379045 is an abundant number, since it is smaller than the sum of its proper divisors (20654349723).

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

18800379045 is an equidigital number, since it uses as much as digits as its factorization.

18800379045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 18800379045 in words is "eighteen billion, eight hundred million, three hundred seventy-nine thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 243 245 315 405 441 457 567 691 735 945 1215 1323 1371 1701 2073 2205 2285 2835 3199 3455 3969 4113 4837 6219 6615 6855 8505 9597 10365 11907 12339 14511 15995 18657 19845 20565 22393 24185 28791 31095 33859 37017 43533 47985 55971 59535 61695 67179 72555 86373 93285 101577 111051 111965 130599 143955 167913 169295 185085 201537 217665 259119 279855 304731 315787 335895 391797 431865 507885 555255 604611 652995 777357 839565 914193 947361 1007685 1175391 1295595 1523655 1578935 1813833 1958985 2210509 2742579 2842083 3023055 3886785 4570965 4736805 5441499 5876955 6631527 8227737 8526249 9069165 11052545 13712895 14210415 15473563 19894581 25578747 27207495 33157635 41138685 42631245 46420689 59683743 76736241 77367815 99472905 127893735 139262067 179051229 232103445 298418715 383681205 417786201 537153687 696310335 895256145 1253358603 2088931005 2685768435 3760075809 6266793015 18800379045