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18484437216 = 253774337021
BaseRepresentation
bin10001001101110000…
…100010000011100000
31202201012201200221210
4101031300202003200
5300324003442331
612254105350120
71223030060340
oct211560420340
952635650853
1018484437216
117925a8a2a3
1236ba498340
1319876c6b1b
14c74cd0d20
15732b9a446
hex44dc220e0

18484437216 has 96 divisors (see below), whose sum is σ = 55529445888. Its totient is φ = 5274017280.

The previous prime is 18484437187. The next prime is 18484437227. The reversal of 18484437216 is 61273448481.

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 nude number because it is divisible by every one of its digits.

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, 480786 + ... + 517806.

It is an arithmetic number, because the mean of its divisors is an integer number (578431728).

Almost surely, 218484437216 is an apocalyptic number.

18484437216 is a gapful number since it is divisible by the number (16) 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 18484437216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27764722944).

18484437216 is an abundant number, since it is smaller than the sum of its proper divisors (37045008672).

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

18484437216 is a wasteful number, since it uses less digits than its factorization.

18484437216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37784 (or 37776 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The spelling of 18484437216 in words is "eighteen billion, four hundred eighty-four million, four hundred thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 743 1486 2229 2972 4458 5201 5944 8916 10402 11888 15603 17832 20804 23776 31206 35664 37021 41608 62412 71328 74042 83216 111063 124824 148084 166432 222126 249648 259147 296168 444252 499296 518294 592336 777441 888504 1036588 1184672 1554882 1777008 2073176 3109764 3554016 4146352 6219528 8292704 12439056 24878112 27506603 55013206 82519809 110026412 165039618 192546221 220052824 330079236 385092442 440105648 577638663 660158472 770184884 880211296 1155277326 1320316944 1540369768 2310554652 2640633888 3080739536 4621109304 6161479072 9242218608 18484437216