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5133987633124 = 22741101352912547
BaseRepresentation
bin100101010110101100110…
…0000100101011111100100
3200011210201102111010022201
41022231121200211133210
51133103401313224444
614530304340304244
71036626666565060
oct112553140453744
920153642433281
105133987633124
1116aa3481a3459
126ab0020a2084
132b319614a50c
1413a6b46a6aa0
158d8306b5dd4
hex4ab598257e4

5133987633124 has 96 divisors (see below), whose sum is σ = 10626413333760. Its totient is φ = 2124589824000.

The previous prime is 5133987633119. The next prime is 5133987633133. The reversal of 5133987633124 is 4213367893315.

It is a happy number.

It is a super-3 number, since 3×51339876331243 (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409174219 + ... + 409186765.

It is an arithmetic number, because the mean of its divisors is an integer number (110691805560).

Almost surely, 25133987633124 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 5133987633124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5313206666880).

5133987633124 is an abundant number, since it is smaller than the sum of its proper divisors (5492425700636).

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

5133987633124 is a wasteful number, since it uses less digits than its factorization.

5133987633124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16229 (or 16227 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 55.

The spelling of 5133987633124 in words is "five trillion, one hundred thirty-three billion, nine hundred eighty-seven million, six hundred thirty-three thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 41 82 101 164 202 287 404 574 707 1148 1414 2828 3529 4141 7058 8282 12547 14116 16564 24703 25094 28987 49406 50188 57974 87829 98812 115948 144689 175658 289378 351316 356429 514427 578756 712858 1012823 1028854 1267247 1425716 2025646 2057708 2495003 2534494 3600989 4051292 4990006 5068988 7201978 8870729 9980012 14403956 14613589 17741458 29227178 35482916 44278363 51957127 58454356 88556726 102295123 103914254 177113452 204590246 207828508 309948541 363699889 409180492 619897082 727399778 1239794164 1454799556 1815412883 3630825766 4472114663 7261651532 8944229326 12707890181 17888458652 25415780362 31304802641 50831560724 62609605282 125219210564 183356701183 366713402366 733426804732 1283496908281 2566993816562 5133987633124