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21525510132 = 22337188915073
BaseRepresentation
bin10100000011000001…
…010011011111110100
32001120011001012202000
4110003001103133310
5323041012311012
613515542215300
71361264550210
oct240301233764
961504035660
1021525510132
1191466533a5
124208a24530
13205075c359
141082b49940
1585eb53ddc
hex5030537f4

21525510132 has 96 divisors (see below), whose sum is σ = 63817286400. Its totient is φ = 6146482176.

The previous prime is 21525510131. The next prime is 21525510133. The reversal of 21525510132 is 23101552512.

21525510132 is a `hidden beast` number, since 2 + 1 + 525 + 5 + 1 + 0 + 132 = 666.

It is an interprime number because it is at equal distance from previous prime (21525510131) and next prime (21525510133).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21525510096 and 21525510105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21525510131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1420548 + ... + 1435620.

It is an arithmetic number, because the mean of its divisors is an integer number (664763400).

Almost surely, 221525510132 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 21525510132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31908643200).

21525510132 is an abundant number, since it is smaller than the sum of its proper divisors (42291776268).

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

21525510132 is a wasteful number, since it uses less digits than its factorization.

21525510132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16982 (or 16974 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 21525510132 in words is "twenty-one billion, five hundred twenty-five million, five hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1889 3778 5667 7556 11334 13223 15073 17001 22668 26446 30146 34002 39669 45219 51003 52892 60292 68004 79338 90438 102006 105511 119007 135657 158676 180876 204012 211022 238014 271314 316533 357021 406971 422044 476028 542628 633066 714042 813942 949599 1266132 1428084 1627884 1899198 2848797 3798396 5697594 11395188 28472897 56945794 85418691 113891588 170837382 199310279 256256073 341674764 398620558 512512146 597930837 768768219 797241116 1025024292 1195861674 1537536438 1793792511 2391723348 3075072876 3587585022 5381377533 7175170044 10762755066 21525510132