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18339582144 = 2631331237019
BaseRepresentation
bin10001000101000111…
…111101000011000000
31202100010011022011010
4101011013331003000
5300024413112034
612231452520520
71216320606342
oct210507750300
952303138133
1018339582144
117861241564
123679a80140
1319636a9970
14c5d985292
157250d53e9
hex4451fd0c0

18339582144 has 112 divisors (see below), whose sum is σ = 53941959680. Its totient is φ = 5460894720.

The previous prime is 18339582109. The next prime is 18339582181. The reversal of 18339582144 is 44128593381.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 18339582093 and 18339582102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41134 + ... + 195885.

It is an arithmetic number, because the mean of its divisors is an integer number (481624640).

Almost surely, 218339582144 is an apocalyptic number.

It is an amenable number.

18339582144 is an abundant number, since it is smaller than the sum of its proper divisors (35602377536).

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

18339582144 is a wasteful number, since it uses less digits than its factorization.

18339582144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237078 (or 237068 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The spelling of 18339582144 in words is "eighteen billion, three hundred thirty-nine million, five hundred eighty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 156 186 192 208 248 312 372 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1984 2418 2496 2976 3224 4836 5952 6448 9672 12896 19344 25792 38688 77376 237019 474038 711057 948076 1422114 1896152 2844228 3081247 3792304 5688456 6162494 7347589 7584608 9243741 11376912 12324988 14695178 15169216 18487482 22042767 22753824 24649976 29390356 36974964 44085534 45507648 49299952 58780712 73949928 88171068 95518657 98599904 117561424 147899856 176342136 191037314 197199808 235122848 286555971 295799712 352684272 382074628 470245696 573111942 591599424 705368544 764149256 1146223884 1410737088 1528298512 2292447768 3056597024 4584895536 6113194048 9169791072 18339582144