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18488642304 = 283112399157
BaseRepresentation
bin10001001110000000…
…100100101100000000
31202201111122100020210
4101032000210230000
5300331043023204
612254335434120
71223110603146
oct211600445400
952644570223
1018488642304
1179283a1680
1236bb985940
131988539b42
14c756a7596
1573322b389
hex44e024b00

18488642304 has 144 divisors (see below), whose sum is σ = 53910581760. Its totient is φ = 5578567680.

The previous prime is 18488642287. The next prime is 18488642363. The reversal of 18488642304 is 40324688481.

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

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, 2014494 + ... + 2023650.

It is an arithmetic number, because the mean of its divisors is an integer number (374379040).

Almost surely, 218488642304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18488642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26955290880).

18488642304 is an abundant number, since it is smaller than the sum of its proper divisors (35421939456).

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

18488642304 is a wasteful number, since it uses less digits than its factorization.

18488642304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9426 (or 9412 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 18488642304 in words is "eighteen billion, four hundred eighty-eight million, six hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 239 256 264 352 384 478 528 704 717 768 956 1056 1408 1434 1912 2112 2629 2816 2868 3824 4224 5258 5736 7648 7887 8448 9157 10516 11472 15296 15774 18314 21032 22944 27471 30592 31548 36628 42064 45888 54942 61184 63096 73256 84128 91776 100727 109884 126192 146512 168256 183552 201454 219768 252384 293024 302181 336512 402908 439536 504768 586048 604362 673024 805816 879072 1009536 1172096 1208724 1611632 1758144 2019072 2188523 2344192 2417448 3223264 3516288 4377046 4834896 6446528 6565569 7032576 8754092 9669792 12893056 13131138 17508184 19339584 24073753 25786112 26262276 35016368 38679168 48147506 52524552 70032736 72221259 77358336 96295012 105049104 140065472 144442518 192590024 210098208 280130944 288885036 385180048 420196416 560261888 577770072 770360096 840392832 1155540144 1540720192 1680785664 2311080288 3081440384 4622160576 6162880768 9244321152 18488642304