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27896348484 = 223810312
BaseRepresentation
bin11001111110110000…
…000111111101000100
32200000010220100000000
4121332300013331010
5424112431122414
620452043321300
72005204023024
oct317660077504
980003810000
1027896348484
1110915841564
1254a6520230
1328275c91a4
1414c8ccba84
15ad40deb09
hex67ec07f44

27896348484 has 81 divisors (see below), whose sum is σ = 73295285791. Its totient is φ = 9289763640.

The previous prime is 27896348453. The next prime is 27896348489. The reversal of 27896348484 is 48484369872.

The square root of 27896348484 is 167022.

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

27896348484 is a `hidden beast` number, since 2 + 78 + 9 + 6 + 3 + 484 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27896348489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27057049 + ... + 27058079.

Almost surely, 227896348484 is an apocalyptic number.

27896348484 is the 167022-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27896348484

27896348484 is an abundant number, since it is smaller than the sum of its proper divisors (45398937307).

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

27896348484 is an frugal number, since it uses more digits than its factorization.

27896348484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 1036 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 27896348484 in words is "twenty-seven billion, eight hundred ninety-six million, three hundred forty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1031 1458 2062 2187 2916 3093 4124 4374 6186 6561 8748 9279 12372 13122 18558 26244 27837 37116 55674 83511 111348 167022 250533 334044 501066 751599 1002132 1062961 1503198 2125922 2254797 3006396 3188883 4251844 4509594 6377766 6764391 9019188 9566649 12755532 13528782 19133298 27057564 28699947 38266596 57399894 86099841 114799788 172199682 258299523 344399364 516599046 774898569 1033198092 1549797138 2324695707 3099594276 4649391414 6974087121 9298782828 13948174242 27896348484