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108047634436 = 22725324432
BaseRepresentation
bin110010010100000100…
…1000001000000000100
3101022220000200112022101
41210220021001000010
53232240143300221
6121345243441444
710543343511400
oct1445011010004
9338800615271
10108047634436
1141906088a55
1218b34b26284
13a25bb90301
14532dba8100
152c259e3d91
hex1928241004

108047634436 has 81 divisors (see below), whose sum is σ = 224689691541. Its totient is φ = 45329872224.

The previous prime is 108047634421. The next prime is 108047634439. The reversal of 108047634436 is 634436740801.

The square root of 108047634436 is 328706.

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

It can be written as a sum of positive squares in only one way, i.e., 77891228100 + 30156406336 = 279090^2 + 173656^2 .

It is not an unprimeable number, because it can be changed into a prime (108047634439) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 243899631 + ... + 243900073.

Almost surely, 2108047634436 is an apocalyptic number.

108047634436 is the 328706-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108047634436

108047634436 is an abundant number, since it is smaller than the sum of its proper divisors (116642057105).

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

108047634436 is an frugal number, since it uses more digits than its factorization.

108047634436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

The spelling of 108047634436 in words is "one hundred eight billion, forty-seven million, six hundred thirty-four thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 371 443 742 886 1484 1772 2597 2809 3101 5194 5618 6202 10388 11236 12404 19663 21707 23479 39326 43414 46958 78652 86828 93916 137641 164353 196249 275282 328706 392498 550564 657412 784996 1150471 1244387 1373743 2300942 2488774 2747486 4601884 4977548 5494972 8710709 9616201 10401197 17421418 19232402 20802394 34842836 38464804 41604788 60974963 72808379 121949926 145616758 243899852 291233516 509658653 551263441 1019317306 1102526882 2038634612 2205053764 3858844087 7717688174 15435376348 27011908609 54023817218 108047634436