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20125526631 = 37231092511523
BaseRepresentation
bin10010101111100100…
…110010101001100111
31220221120201200102020
4102233210302221213
5312204113323011
613125011514223
71311505103520
oct225744625147
956846650366
1020125526631
118598376041
123a97bb8973
131b896b8252
14d8cc3d847
157cbcb4006
hex4af932a67

20125526631 has 64 divisors (see below), whose sum is σ = 32444375040. Its totient is φ = 10848816000.

The previous prime is 20125526599. The next prime is 20125526651. The reversal of 20125526631 is 13662552102.

It is not a de Polignac number, because 20125526631 - 25 = 20125526599 is a prime.

It is a super-2 number, since 2×201255266312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20125526592 and 20125526601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20125526651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13213636 + ... + 13215158.

It is an arithmetic number, because the mean of its divisors is an integer number (506943360).

Almost surely, 220125526631 is an apocalyptic number.

20125526631 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20125526631 is a deficient number, since it is larger than the sum of its proper divisors (12318848409).

20125526631 is a wasteful number, since it uses less digits than its factorization.

20125526631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916.

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 20125526631 in words is "twenty billion, one hundred twenty-five million, five hundred twenty-six thousand, six hundred thirty-one".

Divisors: 1 3 7 21 23 69 109 161 251 327 483 753 763 1523 1757 2289 2507 4569 5271 5773 7521 10661 17319 17549 27359 31983 35029 40411 52647 82077 105087 121233 166007 191513 245203 382273 498021 574539 629257 735609 1146819 1162049 1887771 2675911 3486147 3818161 4404799 8027733 8792279 11454483 13214397 26376837 26727127 41667757 61545953 80181381 125003271 184637859 291674299 875022897 958358411 2875075233 6708508877 20125526631