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11531074032 = 2433179149119
BaseRepresentation
bin10101011110100111…
…00011100111110000
31002202121202020212000
422233103203213300
5142103423332112
65144114534000
7555515340432
oct125723434760
932677666760
1011531074032
114987a99655
122299897300
131119c6c53a
147b5634652
154774e47dc
hex2af4e39f0

11531074032 has 80 divisors (see below), whose sum is σ = 33283584000. Its totient is φ = 3822192576.

The previous prime is 11531074021. The next prime is 11531074097. The reversal of 11531074032 is 23047013511.

11531074032 is a `hidden beast` number, since 1 + 153 + 107 + 403 + 2 = 666.

It is a super-3 number, since 3×115310740323 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11531073987 and 11531074005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2769 + ... + 151887.

It is an arithmetic number, because the mean of its divisors is an integer number (416044800).

Almost surely, 211531074032 is an apocalyptic number.

11531074032 is a gapful number since it is divisible by the number (12) 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 11531074032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16641792000).

11531074032 is an abundant number, since it is smaller than the sum of its proper divisors (21752509968).

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

11531074032 is a wasteful number, since it uses less digits than its factorization.

11531074032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149315 (or 149303 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 11531074032 its reverse (23047013511), we get a palindrome (34578087543).

The spelling of 11531074032 in words is "eleven billion, five hundred thirty-one million, seventy-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 179 216 358 432 537 716 1074 1432 1611 2148 2864 3222 4296 4833 6444 8592 9666 12888 19332 25776 38664 77328 149119 298238 447357 596476 894714 1192952 1342071 1789428 2385904 2684142 3578856 4026213 5368284 7157712 8052426 10736568 16104852 21473136 26692301 32209704 53384602 64419408 80076903 106769204 160153806 213538408 240230709 320307612 427076816 480461418 640615224 720692127 960922836 1281230448 1441384254 1921845672 2882768508 3843691344 5765537016 11531074032