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20765872127 = 71113210315493
BaseRepresentation
bin10011010101101111…
…100000111111111111
31222121012122121022002
4103111233200333333
5320012030402002
613312324412515
71333412000150
oct232557407777
958535577262
1020765872127
1188968800a0
12403654713b
131c5c26ba00
14100dcc9927
15818101002
hex4d5be0fff

20765872127 has 48 divisors (see below), whose sum is σ = 28308653568. Its totient is φ = 14790522240.

The previous prime is 20765872087. The next prime is 20765872199. The reversal of 20765872127 is 72127856702.

It is not a de Polignac number, because 20765872127 - 222 = 20761677823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20765872627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1332593 + ... + 1348085.

It is an arithmetic number, because the mean of its divisors is an integer number (589763616).

Almost surely, 220765872127 is an apocalyptic number.

20765872127 is a deficient number, since it is larger than the sum of its proper divisors (7542781441).

20765872127 is a wasteful number, since it uses less digits than its factorization.

20765872127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15640 (or 15627 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 47.

The spelling of 20765872127 in words is "twenty billion, seven hundred sixty-five million, eight hundred seventy-two thousand, one hundred twenty-seven".

Divisors: 1 7 11 13 77 91 103 143 169 721 1001 1133 1183 1339 1859 7931 9373 13013 14729 15493 17407 103103 108451 121849 170423 191477 201409 1192961 1340339 1409863 1595779 2215499 2618317 11170453 15508493 17553569 18328219 20745127 28801487 122874983 145215889 201610409 228196397 269686651 1597374779 1887806557 2966553161 20765872127