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20507366516 = 22721322932113
BaseRepresentation
bin10011000110010101…
…011001010001110100
31221221012020011021012
4103012111121101310
5313444341212031
613230532011352
71324122511400
oct230625312164
957835204235
1020507366516
118773967a9a
123b83a60b58
131c1a83ba00
14dc7838100
1580058bb2b
hex4c6559474

20507366516 has 108 divisors (see below), whose sum is σ = 45381233772. Its totient is φ = 8081289216.

The previous prime is 20507366491. The next prime is 20507366527. The reversal of 20507366516 is 61566370502.

It can be written as a sum of positive squares in 6 ways, for example, as 4581936100 + 15925430416 = 67690^2 + 126196^2 .

It is a congruent number.

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, 9704276 + ... + 9706388.

It is an arithmetic number, because the mean of its divisors is an integer number (420196609).

Almost surely, 220507366516 is an apocalyptic number.

20507366516 is a gapful number since it is divisible by the number (26) 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 20507366516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22690616886).

20507366516 is an abundant number, since it is smaller than the sum of its proper divisors (24873867256).

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

20507366516 is a wasteful number, since it uses less digits than its factorization.

20507366516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 41.

The spelling of 20507366516 in words is "twenty billion, five hundred seven million, three hundred sixty-six thousand, five hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 293 338 364 586 637 676 1172 1183 1274 2051 2113 2366 2548 3809 4102 4226 4732 7618 8204 8281 8452 14357 14791 15236 16562 26663 27469 28714 29582 33124 49517 53326 54938 57428 59164 99034 103537 106652 109876 186641 192283 198068 207074 346619 357097 373282 384566 414148 619109 693238 714194 746564 769132 1238218 1345981 1386476 1428388 2426333 2476436 2499679 2691962 4333763 4852666 4999358 5383924 8048417 8667526 9705332 9998716 16096834 17335052 17497753 30336341 32193668 34995506 56338919 60672682 69991012 104629421 112677838 121345364 209258842 225355676 394372433 418517684 732405947 788744866 1464811894 1577489732 2929623788 5126841629 10253683258 20507366516