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18466815072 = 2533116338069
BaseRepresentation
bin10001001100101101…
…010011110001100000
31202122222120101220210
4101030231103301200
5300310001040242
612252235534120
71222424223666
oct211455236140
952588511823
1018466815072
117917043542
1236b45ba340
131983b66b14
14c72824c36
15731368d9c
hex44cb53c60

18466815072 has 96 divisors (see below), whose sum is σ = 50347422720. Its totient is φ = 5920335360.

The previous prime is 18466815049. The next prime is 18466815163. The reversal of 18466815072 is 27051866481.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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, 466054 + ... + 504122.

It is an arithmetic number, because the mean of its divisors is an integer number (524452320).

Almost surely, 218466815072 is an apocalyptic number.

18466815072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18466815072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25173711360).

18466815072 is an abundant number, since it is smaller than the sum of its proper divisors (31880607648).

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

18466815072 is a wasteful number, since it uses less digits than its factorization.

18466815072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38276 (or 38268 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 18466815072 in words is "eighteen billion, four hundred sixty-six million, eight hundred fifteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 163 186 248 326 372 489 496 652 744 978 992 1304 1488 1956 2608 2976 3912 5053 5216 7824 10106 15159 15648 20212 30318 38069 40424 60636 76138 80848 114207 121272 152276 161696 228414 242544 304552 456828 485088 609104 913656 1180139 1218208 1827312 2360278 3540417 3654624 4720556 6205247 7080834 9441112 12410494 14161668 18615741 18882224 24820988 28323336 37231482 37764448 49641976 56646672 74462964 99283952 113293344 148925928 192362657 198567904 297851856 384725314 577087971 595703712 769450628 1154175942 1538901256 2308351884 3077802512 4616703768 6155605024 9233407536 18466815072