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11325505044 = 22372831092129
BaseRepresentation
bin10101000110000110…
…10111111000010100
31002020021221021012210
422203003113320110
5141143312130134
65111452513420
7550441130100
oct124303277024
932207837183
1011325505044
114891a52627
122240a7b870
1310b64b5499
14796202900
1546443a2e9
hex2a30d7e14

11325505044 has 144 divisors (see below), whose sum is σ = 31411195200. Its totient is φ = 3166055424.

The previous prime is 11325505039. The next prime is 11325505099. The reversal of 11325505044 is 44050552311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5318572 + ... + 5320700.

It is an arithmetic number, because the mean of its divisors is an integer number (218133300).

Almost surely, 211325505044 is an apocalyptic number.

11325505044 is a gapful number since it is divisible by the number (14) 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 11325505044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15705597600).

11325505044 is an abundant number, since it is smaller than the sum of its proper divisors (20085690156).

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

11325505044 is a wasteful number, since it uses less digits than its factorization.

11325505044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 11325505044 in words is "eleven billion, three hundred twenty-five million, five hundred five thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 83 84 98 109 147 166 196 218 249 294 327 332 436 498 581 588 654 763 996 1162 1308 1526 1743 2129 2289 2324 3052 3486 4067 4258 4578 5341 6387 6972 8134 8516 9047 9156 10682 12201 12774 14903 16023 16268 18094 21364 24402 25548 27141 29806 32046 36188 44709 48804 54282 59612 63329 64092 89418 104321 108564 126658 176707 178836 189987 208642 232061 253316 312963 353414 379974 417284 443303 464122 530121 625926 696183 706828 759948 886606 928244 1060242 1236949 1251852 1329909 1392366 1624427 1773212 2120484 2473898 2659818 2784732 3248854 3710847 4873281 4947796 5319636 6497708 7421694 8658643 9746562 11370989 14843388 17317286 19261063 19493124 22741978 25975929 34112967 34634572 38522126 45483956 51951858 57783189 68225934 77044252 103903716 115566378 134827441 136451868 231132756 269654882 404482323 539309764 808964646 943792087 1617929292 1887584174 2831376261 3775168348 5662752522 11325505044