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11532553424 = 2471929186877
BaseRepresentation
bin10101011110110010…
…01100110011010000
31002202201112102012022
422233121030303100
5142104313202144
65144210351012
7555534041510
oct125731146320
932681472168
1011532553424
11498890a097
12229a28b468
13111a369a12
147b58db840
154776d7cee
hex2af64ccd0

11532553424 has 80 divisors (see below), whose sum is σ = 27807446400. Its totient is φ = 4520904192.

The previous prime is 11532553369. The next prime is 11532553489. The reversal of 11532553424 is 42435523511.

11532553424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 31727 + ... + 155150.

It is an arithmetic number, because the mean of its divisors is an integer number (347593080).

Almost surely, 211532553424 is an apocalyptic number.

11532553424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11532553424 is an abundant number, since it is smaller than the sum of its proper divisors (16274892976).

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

11532553424 is a wasteful number, since it uses less digits than its factorization.

11532553424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186940 (or 186934 counting only the distinct ones).

The product of its digits is 72000, while the sum is 35.

The spelling of 11532553424 in words is "eleven billion, five hundred thirty-two million, five hundred fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 29 38 56 58 76 112 116 133 152 203 232 266 304 406 464 532 551 812 1064 1102 1624 2128 2204 3248 3857 4408 7714 8816 15428 30856 61712 186877 373754 747508 1308139 1495016 2616278 2990032 3550663 5232556 5419433 7101326 10465112 10838866 14202652 20930224 21677732 24854641 28405304 37936031 43355464 49709282 56810608 75872062 86710928 99418564 102969227 151744124 198837128 205938454 303488248 397674256 411876908 606976496 720784589 823753816 1441569178 1647507632 2883138356 5766276712 11532553424