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18076264704 = 283228012
BaseRepresentation
bin10000110101011011…
…011110100100000000
31201122202200101112100
4100311123132210000
5244010010432304
612145405030400
71206642500121
oct206533364400
951582611470
1018076264704
117736642243
123605855400
131920c83724
14c36a00048
1570be20439
hex4356de900

18076264704 has 81 divisors (see below), whose sum is σ = 52136941129. Its totient is φ = 6023270400.

The previous prime is 18076264697. The next prime is 18076264753. The reversal of 18076264704 is 40746267081.

The square root of 18076264704 is 134448.

It is a perfect power (a square), and thus also a powerful number.

18076264704 is a `hidden beast` number, since 18 + 0 + 7 + 626 + 4 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9225218304 + 8851046400 = 96048^2 + 94080^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18076264704.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6452104 + ... + 6454904.

Almost surely, 218076264704 is an apocalyptic number.

18076264704 is the 134448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18076264704

18076264704 is an abundant number, since it is smaller than the sum of its proper divisors (34060676425).

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

18076264704 is an frugal number, since it uses more digits than its factorization.

18076264704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5624 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 18076264704 in words is "eighteen billion, seventy-six million, two hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 2801 5602 8403 11204 16806 22408 25209 33612 44816 50418 67224 89632 100836 134448 179264 201672 268896 358528 403344 537792 717056 806688 1075584 1613376 2151168 3226752 6453504 7845601 15691202 23536803 31382404 47073606 62764808 70610409 94147212 125529616 141220818 188294424 251059232 282441636 376588848 502118464 564883272 753177696 1004236928 1129766544 1506355392 2008473856 2259533088 3012710784 4519066176 6025421568 9038132352 18076264704