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18469706304 = 263717808373
BaseRepresentation
bin10001001100111000…
…010101101001000000
31202200012000021221110
4101030320111221000
5300311221100204
612252421523320
71222460625150
oct211470255100
952605007843
1018469706304
117918738795
1236b5573540
131984639aca
14c72d78760
1573173a889
hex44ce15a40

18469706304 has 112 divisors (see below), whose sum is σ = 59134174848. Its totient is φ = 4966637568.

The previous prime is 18469706293. The next prime is 18469706309. The reversal of 18469706304 is 40360796481.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×184697063042 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (18469706309) 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 15 ways as a sum of consecutive naturals, for example, 381339 + ... + 427034.

It is an arithmetic number, because the mean of its divisors is an integer number (527983704).

Almost surely, 218469706304 is an apocalyptic number.

18469706304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

18469706304 is an abundant number, since it is smaller than the sum of its proper divisors (40664468544).

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

18469706304 is a wasteful number, since it uses less digits than its factorization.

18469706304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808412 (or 808402 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 18469706304 in words is "eighteen billion, four hundred sixty-nine million, seven hundred six thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 5712 7616 11424 22848 808373 1616746 2425119 3233492 4850238 5658611 6466984 9700476 11317222 12933968 13742341 16975833 19400952 22634444 25867936 27484682 33951666 38801904 41227023 45268888 51735872 54969364 67903332 77603808 82454046 90537776 96196387 109938728 135806664 155207616 164908092 181075552 192392774 219877456 271613328 288589161 329816184 362151104 384785548 439754912 543226656 577178322 659632368 769571096 879509824 1086453312 1154356644 1319264736 1539142192 2308713288 2638529472 3078284384 4617426576 6156568768 9234853152 18469706304