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11532139344 = 2433112778761
BaseRepresentation
bin10101011110101111…
…00111101101010000
31002202200202101012000
422233113213231100
5142104211424334
65144153434000
7555530365335
oct125727475520
932680671160
1011532139344
114988656a80
12229a10b900
13111a2533bb
147b583098c
15477655299
hex2af5e7b50

11532139344 has 160 divisors (see below), whose sum is σ = 36245239680. Its totient is φ = 3481574400.

The previous prime is 11532139343. The next prime is 11532139373. The reversal of 11532139344 is 44393123511.

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

It is a junction number, because it is equal to n+sod(n) for n = 11532139299 and 11532139308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11532139343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1311924 + ... + 1320684.

It is an arithmetic number, because the mean of its divisors is an integer number (226532748).

Almost surely, 211532139344 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 11532139344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18122619840).

11532139344 is an abundant number, since it is smaller than the sum of its proper divisors (24713100336).

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

11532139344 is a wasteful number, since it uses less digits than its factorization.

11532139344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9066 (or 9054 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The spelling of 11532139344 in words is "eleven billion, five hundred thirty-two million, one hundred thirty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 277 297 396 432 528 554 594 792 831 1108 1188 1584 1662 2216 2376 2493 3047 3324 4432 4752 4986 6094 6648 7479 8761 9141 9972 12188 13296 14958 17522 18282 19944 24376 26283 27423 29916 35044 36564 39888 48752 52566 54846 59832 70088 73128 78849 82269 96371 105132 109692 119664 140176 146256 157698 164538 192742 210264 219384 236547 289113 315396 329076 385484 420528 438768 473094 578226 630792 658152 770968 867339 946188 1156452 1261584 1316304 1541936 1734678 1892376 2312904 2426797 2602017 3469356 3784752 4625808 4853594 5204034 6938712 7280391 9707188 10408068 13877424 14560782 19414376 20816136 21841173 26694767 29121564 38828752 41632272 43682346 53389534 58243128 65523519 80084301 87364692 106779068 116486256 131047038 160168602 174729384 213558136 240252903 262094076 320337204 349458768 427116272 480505806 524188152 640674408 720758709 961011612 1048376304 1281348816 1441517418 1922023224 2883034836 3844046448 5766069672 11532139344