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13292652688 = 2473125714897
BaseRepresentation
bin11000110000100110…
…11100100010010000
31021022101110201110221
430120103130202100
5204210404341223
610035003402424
7650255453320
oct143023344220
937271421427
1013292652688
1157013a0787
1226ab823414
13133abc9483
14901589280
1552beadb5d
hex3184dc890

13292652688 has 80 divisors (see below), whose sum is σ = 30503476224. Its totient is φ = 5491261440.

The previous prime is 13292652677. The next prime is 13292652689. The reversal of 13292652688 is 88625629231.

It is not an unprimeable number, because it can be changed into a prime (13292652689) 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, 884856 + ... + 899752.

Almost surely, 213292652688 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 13292652688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15251738112).

13292652688 is an abundant number, since it is smaller than the sum of its proper divisors (17210823536).

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

13292652688 is a wasteful number, since it uses less digits than its factorization.

13292652688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15200 (or 15194 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 52.

The spelling of 13292652688 in words is "thirteen billion, two hundred ninety-two million, six hundred fifty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 257 434 496 514 868 1028 1736 1799 2056 3472 3598 4112 7196 7967 14392 14897 15934 28784 29794 31868 55769 59588 63736 104279 111538 119176 127472 208558 223076 238352 417116 446152 461807 834232 892304 923614 1668464 1847228 3232649 3694456 3828529 6465298 7388912 7657058 12930596 15314116 25861192 26799703 30628232 51722384 53599406 61256464 107198812 118684399 214397624 237368798 428795248 474737596 830790793 949475192 1661581586 1898950384 3323163172 6646326344 13292652688