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11265221904 = 2431719726601
BaseRepresentation
bin10100111110111010…
…11010010100010000
31002002002111120021220
422133131122110100
5141032344100104
65101500445040
7546106543356
oct123735322420
932062446256
1011265221904
114860a18a52
122224849780
1310a6b696a1
1478c1cd7d6
1545decd7d9
hex29f75a510

11265221904 has 80 divisors (see below), whose sum is σ = 32435513280. Its totient is φ = 3348172800.

The previous prime is 11265221899. The next prime is 11265221939. The reversal of 11265221904 is 40912256211.

11265221904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112652219042 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347797 + ... + 378804.

It is an arithmetic number, because the mean of its divisors is an integer number (405443916).

Almost surely, 211265221904 is an apocalyptic number.

It is an amenable number.

11265221904 is an abundant number, since it is smaller than the sum of its proper divisors (21170291376).

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

11265221904 is a wasteful number, since it uses less digits than its factorization.

11265221904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726648 (or 726642 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 11265221904 in words is "eleven billion, two hundred sixty-five million, two hundred twenty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 408 456 646 816 912 969 1292 1938 2584 3876 5168 7752 15504 726601 1453202 2179803 2906404 4359606 5812808 8719212 11625616 12352217 13805419 17438424 24704434 27610838 34876848 37056651 41416257 49408868 55221676 74113302 82832514 98817736 110443352 148226604 165665028 197635472 220886704 234692123 296453208 331330056 469384246 592906416 662660112 704076369 938768492 1408152738 1877536984 2816305476 3755073968 5632610952 11265221904