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13254468304 = 2471183912823
BaseRepresentation
bin11000101100000011…
…10010001011010000
31021012201121202100111
430112001302023100
5204121120441204
610031121131104
7646313056510
oct142601621320
937181552314
1013254468304
115691890240
12269aa89a94
13133301a16c
148da489840
15528969d04
hex3160722d0

13254468304 has 80 divisors (see below), whose sum is σ = 32057948160. Its totient is φ = 5157521280.

The previous prime is 13254468289. The next prime is 13254468323. The reversal of 13254468304 is 40386445231.

It is a congruent number.

It is an unprimeable number.

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, 1027237 + ... + 1040059.

It is an arithmetic number, because the mean of its divisors is an integer number (400724352).

Almost surely, 213254468304 is an apocalyptic number.

13254468304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13254468304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16028974080).

13254468304 is an abundant number, since it is smaller than the sum of its proper divisors (18803479856).

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

13254468304 is a wasteful number, since it uses less digits than its factorization.

13254468304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13688 (or 13682 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 13254468304 in words is "thirteen billion, two hundred fifty-four million, four hundred sixty-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 839 1232 1678 3356 5873 6712 9229 11746 12823 13424 18458 23492 25646 36916 46984 51292 64603 73832 89761 93968 102584 129206 141053 147664 179522 205168 258412 282106 359044 516824 564212 718088 987371 1033648 1128424 1436176 1974742 2256848 3949484 7898968 10758497 15797936 21516994 43033988 75309479 86067976 118343467 150618958 172135952 236686934 301237916 473373868 602475832 828404269 946747736 1204951664 1656808538 1893495472 3313617076 6627234152 13254468304