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21358445472 = 25347132331127
BaseRepresentation
bin10011111001000100…
…000000001110100000
32001010111200110010000
4103321010000032200
5322220230223342
613451213340000
71354165535220
oct237104001640
961114613100
1021358445472
119070316231
124180a97600
132024c67120
14106889c080
1585015344c
hex4f91003a0

21358445472 has 960 divisors, whose sum is σ = 83929595904. Its totient is φ = 5173217280.

The previous prime is 21358445467. The next prime is 21358445477. The reversal of 21358445472 is 27454485312.

21358445472 is a `hidden beast` number, since 2 + 13 + 58 + 44 + 547 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (21358445467) and next prime (21358445477).

It is not an unprimeable number, because it can be changed into a prime (21358445477) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 168176673 + ... + 168176799.

Almost surely, 221358445472 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 21358445472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41964797952).

21358445472 is an abundant number, since it is smaller than the sum of its proper divisors (62571150432).

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

21358445472 is a wasteful number, since it uses less digits than its factorization.

21358445472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 206 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The spelling of 21358445472 in words is "twenty-one billion, three hundred fifty-eight million, four hundred forty-five thousand, four hundred seventy-two".