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11263542804 = 223613012969
BaseRepresentation
bin10100111110101110…
…00000011000010100
31002001222100021000000
422133113000120110
5141031431332204
65101400451300
7546056351133
oct123727003024
932058307000
1011263542804
11485aa81468
122224179b30
1310a66cc337
1478bcb391a
1545dc9b039
hex29f5c0614

11263542804 has 84 divisors (see below), whose sum is σ = 29585957940. Its totient is φ = 3750364800.

The previous prime is 11263542799. The next prime is 11263542863. The reversal of 11263542804 is 40824536211.

It is a happy number.

11263542804 is a `hidden beast` number, since 1 + 1 + 26 + 354 + 280 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38564100 + 11224978704 = 6210^2 + 105948^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3792232 + ... + 3795200.

It is an arithmetic number, because the mean of its divisors is an integer number (352213785).

Almost surely, 211263542804 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 11263542804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14792978970).

11263542804 is an abundant number, since it is smaller than the sum of its proper divisors (18322415136).

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

11263542804 is a wasteful number, since it uses less digits than its factorization.

11263542804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 11263542804 in words is "eleven billion, two hundred sixty-three million, five hundred forty-two thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1301 1458 2602 2916 2969 3903 5204 5938 7806 8907 11709 11876 15612 17814 23418 26721 35127 35628 46836 53442 70254 80163 105381 106884 140508 160326 210762 240489 316143 320652 421524 480978 632286 721467 948429 961956 1264572 1442934 1896858 2164401 2885868 3793716 3862669 4328802 7725338 8657604 11588007 15450676 23176014 34764021 46352028 69528042 104292063 139056084 208584126 312876189 417168252 625752378 938628567 1251504756 1877257134 2815885701 3754514268 5631771402 11263542804