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20507716416 = 2631126936097
BaseRepresentation
bin10011000110010110…
…101110101101000000
31221221012212221020110
4103012112232231000
5313444433411131
613230543311320
71324125466455
oct230626565500
957835787213
1020507716416
118774086970
123b83bab540
131c1a932055
14dc78c982c
1580060a646
hex4c65aeb40

20507716416 has 112 divisors (see below), whose sum is σ = 59414420160. Its totient is φ = 6191185920.

The previous prime is 20507716387. The next prime is 20507716417. The reversal of 20507716416 is 61461770502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20507716417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550080 + ... + 586176.

Almost surely, 220507716416 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 20507716416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29707210080).

20507716416 is an abundant number, since it is smaller than the sum of its proper divisors (38906703744).

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

20507716416 is a wasteful number, since it uses less digits than its factorization.

20507716416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36392 (or 36382 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 20507716416 in words is "twenty billion, five hundred seven million, seven hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 269 352 528 538 704 807 1056 1076 1614 2112 2152 2959 3228 4304 5918 6456 8608 8877 11836 12912 17216 17754 23672 25824 35508 36097 47344 51648 71016 72194 94688 108291 142032 144388 189376 216582 284064 288776 397067 433164 568128 577552 794134 866328 1155104 1191201 1588268 1732656 2310208 2382402 3176536 3465312 4764804 6353072 6930624 9529608 9710093 12706144 19059216 19420186 25412288 29130279 38118432 38840372 58260558 76236864 77680744 106811023 116521116 155361488 213622046 233042232 310722976 320433069 427244092 466084464 621445952 640866138 854488184 932168928 1281732276 1708976368 1864337856 2563464552 3417952736 5126929104 6835905472 10253858208 20507716416