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21632867920 = 245270410849
BaseRepresentation
bin10100001001011010…
…110101111001010000
32001211122001112221101
4110021122311321100
5323301003233140
613534335234144
71364040225526
oct241132657120
961748045841
1021632867920
1191a120a944
124238978954
132069a7ab81
1410930d4316
158692ad99a
hex5096b5e50

21632867920 has 20 divisors (see below), whose sum is σ = 50296418100. Its totient is φ = 8653147136.

The previous prime is 21632867899. The next prime is 21632867923. The reversal of 21632867920 is 2976823612.

It can be written as a sum of positive squares in 2 ways, for example, as 10844306496 + 10788561424 = 104136^2 + 103868^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21632867923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 135205345 + ... + 135205504.

It is an arithmetic number, because the mean of its divisors is an integer number (2514820905).

Almost surely, 221632867920 is an apocalyptic number.

21632867920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21632867920 is an abundant number, since it is smaller than the sum of its proper divisors (28663550180).

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

21632867920 is a wasteful number, since it uses less digits than its factorization.

21632867920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270410862 (or 270410856 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 21632867920 in words is "twenty-one billion, six hundred thirty-two million, eight hundred sixty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 270410849 540821698 1081643396 1352054245 2163286792 2704108490 4326573584 5408216980 10816433960 21632867920