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21534289920 = 21232511131943
BaseRepresentation
bin10100000011100010…
…110011000000000000
32001120202120021100100
4110003202303000000
5323100234234140
613520454322400
71361432305233
oct240342630000
961522507310
1021534289920
1191505aa820
12420b959400
1320525146b0
141083d9341a
158607da530
hex5038b3000

21534289920 has 1248 divisors, whose sum is σ = 94454680320. Its totient is φ = 4459069440.

The previous prime is 21534289913. The next prime is 21534289927. The reversal of 21534289920 is 2998243512.

21534289920 is a `hidden beast` number, since 2 + 1 + 534 + 2 + 8 + 99 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (21534289913) and next prime (21534289927).

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×215342899202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21534289927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 500797419 + ... + 500797461.

It is an arithmetic number, because the mean of its divisors is an integer number (75684840).

Almost surely, 221534289920 is an apocalyptic number.

21534289920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21534289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47227340160).

21534289920 is an abundant number, since it is smaller than the sum of its proper divisors (72920390400).

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

21534289920 is a wasteful number, since it uses less digits than its factorization.

21534289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 21534289920 in words is "twenty-one billion, five hundred thirty-four million, two hundred eighty-nine thousand, nine hundred twenty".