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20116747512 = 23327126914629
BaseRepresentation
bin10010101111000011…
…010011010011111000
31220220222012122201200
4102233003103103320
5312144341410022
613124055414200
71311340350441
oct225703232370
956828178650
1020116747512
11859341a174
123a95084360
131b879332c4
14d8b9d62c8
157cb12cbac
hex4af0d34f8

20116747512 has 96 divisors (see below), whose sum is σ = 55459404000. Its totient is φ = 6586110720.

The previous prime is 20116747489. The next prime is 20116747517. The reversal of 20116747512 is 21574761102.

20116747512 is a `hidden beast` number, since 20 + 1 + 167 + 475 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20116747517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1367814 + ... + 1382442.

It is an arithmetic number, because the mean of its divisors is an integer number (577702125).

Almost surely, 220116747512 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 20116747512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27729702000).

20116747512 is an abundant number, since it is smaller than the sum of its proper divisors (35342656488).

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

20116747512 is a wasteful number, since it uses less digits than its factorization.

20116747512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14981 (or 14974 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 20116747512 in words is "twenty billion, one hundred sixteen million, seven hundred forty-seven thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 269 284 426 538 568 639 807 852 1076 1278 1614 1704 2152 2421 2556 3228 4842 5112 6456 9684 14629 19099 19368 29258 38198 43887 57297 58516 76396 87774 114594 117032 131661 152792 171891 175548 229188 263322 343782 351096 458376 526644 687564 1038659 1053288 1375128 2077318 3115977 3935201 4154636 6231954 7870402 8309272 9347931 11805603 12463908 15740804 18695862 23611206 24927816 31481608 35416809 37391724 47222412 70833618 74783448 94444824 141667236 279399271 283334472 558798542 838197813 1117597084 1676395626 2235194168 2514593439 3352791252 5029186878 6705582504 10058373756 20116747512