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11553803364 = 223171095031033
BaseRepresentation
bin10101100001010100…
…10000110001100100
31002211012112000122010
422300222100301210
5142130233201424
65150250034220
7556212464625
oct126052206144
932735460563
1011553803364
114999903524
1222a5418970
13112189a04c
147b866da4c
154794d4229
hex2b0a90c64

11553803364 has 96 divisors (see below), whose sum is σ = 28891779840. Its totient is φ = 3580858368.

The previous prime is 11553803363. The next prime is 11553803399. The reversal of 11553803364 is 46330835511.

It is not an unprimeable number, because it can be changed into a prime (11553803363) 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 31 ways as a sum of consecutive naturals, for example, 11184192 + ... + 11185224.

It is an arithmetic number, because the mean of its divisors is an integer number (300956040).

Almost surely, 211553803364 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 11553803364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14445889920).

11553803364 is an abundant number, since it is smaller than the sum of its proper divisors (17337976476).

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

11553803364 is a wasteful number, since it uses less digits than its factorization.

11553803364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 11553803364 in words is "eleven billion, five hundred fifty-three million, eight hundred three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 109 204 218 327 436 503 654 1006 1033 1308 1509 1853 2012 2066 3018 3099 3706 4132 5559 6036 6198 7412 8551 11118 12396 17102 17561 22236 25653 34204 35122 51306 52683 54827 70244 102612 105366 109654 112597 164481 210732 219308 225194 328962 337791 450388 519599 657924 675582 932059 1039198 1351164 1558797 1864118 1914149 2078396 2796177 3117594 3728236 3828298 5592354 5742447 6235188 7656596 8833183 11184708 11484894 17666366 22969788 26499549 35332732 52999098 56636291 105998196 113272582 169908873 226545164 339817746 679635492 962816947 1925633894 2888450841 3851267788 5776901682 11553803364