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11232597408 = 2531724128559
BaseRepresentation
bin10100111011000001…
…11101010110100000
31001222211010001220020
422131200331112200
5141001021104113
65054333313440
7545232334254
oct123540752640
931884101806
1011232597408
11484456575a
122215935880
1310a0185c56
14787b3a264
1545b1d7023
hex29d83d5a0

11232597408 has 96 divisors (see below), whose sum is σ = 31350654720. Its totient is φ = 3509207040.

The previous prime is 11232597407. The next prime is 11232597419. The reversal of 11232597408 is 80479523211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 11232597408.

It is not an unprimeable number, because it can be changed into a prime (11232597407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379033 + ... + 407591.

It is an arithmetic number, because the mean of its divisors is an integer number (326569320).

Almost surely, 211232597408 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 11232597408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15675327360).

11232597408 is an abundant number, since it is smaller than the sum of its proper divisors (20118057312).

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

11232597408 is a wasteful number, since it uses less digits than its factorization.

11232597408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28830 (or 28822 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 11232597408 in words is "eleven billion, two hundred thirty-two million, five hundred ninety-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 241 272 408 482 544 723 816 964 1446 1632 1928 2892 3856 4097 5784 7712 8194 11568 12291 16388 23136 24582 28559 32776 49164 57118 65552 85677 98328 114236 131104 171354 196656 228472 342708 393312 456944 485503 685416 913888 971006 1370832 1456509 1942012 2741664 2913018 3884024 5826036 6882719 7768048 11652072 13765438 15536096 20648157 23304144 27530876 41296314 46608288 55061752 82592628 110123504 117006223 165185256 220247008 234012446 330370512 351018669 468024892 660741024 702037338 936049784 1404074676 1872099568 2808149352 3744199136 5616298704 11232597408