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5032093792516 = 227229246166221
BaseRepresentation
bin100100100111010000000…
…1010011011100100000100
3122211001201021020201011021
41021032200022123210010
51124421212002330031
614411413441520524
71026361655332300
oct111164012334404
918731637221137
105032093792516
11167010a83992a
12693306043144
132a66a818293b
141357a9d02d00
158ad6a088511
hex493a029b904

5032093792516 has 108 divisors (see below), whose sum is σ = 10632498232356. Its totient is φ = 2077697529600.

The previous prime is 5032093792489. The next prime is 5032093792597. The reversal of 5032093792516 is 6152973902305.

It can be written as a sum of positive squares in 6 ways, for example, as 37110169600 + 4994983622916 = 192640^2 + 2234946^2 .

It is a super-2 number, since 2×50320937925162 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75956286 + ... + 76022506.

It is an arithmetic number, because the mean of its divisors is an integer number (98449057707).

Almost surely, 25032093792516 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 5032093792516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5316249116178).

5032093792516 is an abundant number, since it is smaller than the sum of its proper divisors (5600404439840).

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

5032093792516 is a wasteful number, since it uses less digits than its factorization.

5032093792516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66758 (or 66720 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 52.

The spelling of 5032093792516 in words is "five trillion, thirty-two billion, ninety-three million, seven hundred ninety-two thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 461 812 841 922 1421 1682 1844 2842 3227 3364 5684 5887 6454 11774 12908 13369 22589 23548 26738 41209 45178 53476 66221 82418 90356 93583 132442 164836 187166 264884 374332 387701 463547 655081 775402 927094 1310162 1550804 1854188 1920409 2620324 2713907 3244829 3840818 5427814 6489658 7681636 10855628 12979316 13442863 18997349 26885726 30527881 37994698 53771452 55691861 61055762 75989396 94100041 111383722 122111524 188200082 213695167 222767444 376400164 389843027 427390334 779686054 854780668 885308549 1495866169 1559372108 1770617098 2728901189 2991732338 3541234196 5457802378 5983464676 6197159843 10915604756 12394319686 24788639372 25673947921 43380118901 51347895842 86760237802 102695791684 173520475604 179717635447 359435270894 718870541788 1258023448129 2516046896258 5032093792516