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55131267132 = 223231417871531
BaseRepresentation
bin110011010110000101…
…000110000000111100
312021022012012112211200
4303112011012000330
51400402101022012
641154342215500
73661130016144
oct632605060074
9167265175750
1055131267132
1121421187a97
12a827424590
135277b6ba76
142950001924
15167a0ca3dc
hexcd614603c

55131267132 has 144 divisors (see below), whose sum is σ = 147647345664. Its totient is φ = 17317152000.

The previous prime is 55131267127. The next prime is 55131267143. The reversal of 55131267132 is 23176213155.

55131267132 is a `hidden beast` number, since 5 + 513 + 1 + 2 + 6 + 7 + 132 = 666.

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

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, 36009207 + ... + 36010737.

Almost surely, 255131267132 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 55131267132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73823672832).

55131267132 is an abundant number, since it is smaller than the sum of its proper divisors (92516078532).

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

55131267132 is a wasteful number, since it uses less digits than its factorization.

55131267132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2395 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The spelling of 55131267132 in words is "fifty-five billion, one hundred thirty-one million, two hundred sixty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 41 62 82 93 123 124 164 186 246 279 369 372 492 558 738 787 1116 1271 1476 1531 1574 2361 2542 3062 3148 3813 4593 4722 5084 6124 7083 7626 9186 9444 11439 13779 14166 15252 18372 22878 24397 27558 28332 32267 45756 47461 48794 55116 62771 64534 73191 94922 96801 97588 125542 129068 142383 146382 188313 189844 193602 219573 251084 284766 290403 292764 376626 387204 427149 439146 564939 569532 580806 753252 854298 878292 1000277 1129878 1161612 1204897 1708596 1945901 2000554 2259756 2409794 3000831 3614691 3891802 4001108 4819588 5837703 6001662 7229382 7783604 9002493 10844073 11675406 12003324 14458764 17513109 18004986 21688146 23350812 35026218 36009972 37351807 43376292 49400777 70052436 74703614 98801554 112055421 148202331 149407228 197603108 224110842 296404662 336166263 444606993 448221684 592809324 672332526 889213986 1344665052 1531424087 1778427972 3062848174 4594272261 6125696348 9188544522 13782816783 18377089044 27565633566 55131267132