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11584397132 = 22721143312409
BaseRepresentation
bin10101100100111101…
…11101111101001100
31002220100002100101122
422302132331331030
5142211101202012
65153301500112
7560033515400
oct126236757514
932810070348
1011584397132
114a050aa030
1222b3711638
13112801c379
147bc755100
1547c028e72
hex2b27bdf4c

11584397132 has 72 divisors (see below), whose sum is σ = 25787880720. Its totient is φ = 4502615040.

The previous prime is 11584397131. The next prime is 11584397141. The reversal of 11584397132 is 23179348511.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (11584397131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 927344 + ... + 939752.

It is an arithmetic number, because the mean of its divisors is an integer number (358165010).

Almost surely, 211584397132 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 11584397132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12893940360).

11584397132 is an abundant number, since it is smaller than the sum of its proper divisors (14203483588).

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

11584397132 is a wasteful number, since it uses less digits than its factorization.

11584397132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12871 (or 12862 counting only the distinct ones).

The product of its digits is 181440, while the sum is 44.

The spelling of 11584397132 in words is "eleven billion, five hundred eighty-four million, three hundred ninety-seven thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 433 539 866 1078 1732 2156 3031 4763 6062 9526 12124 12409 19052 21217 24818 33341 42434 49636 66682 84868 86863 133364 136499 173726 233387 272998 347452 466774 545996 608041 933548 955493 1216082 1910986 2432164 3821972 5373097 6688451 10746194 13376902 21492388 26753804 37611679 59104067 75223358 118208134 150446716 236416268 263281753 413728469 526563506 827456938 1053127012 1654913876 2896099283 5792198566 11584397132