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21092426460 = 22335723377983
BaseRepresentation
bin10011101001001101…
…001110001011011100
32000102222010021122000
4103221031032023130
5321144130121320
613404551522300
71344455444460
oct235115161334
960388107560
1021092426460
118a44141206
124107989390
131cb1b06321
1410414124a0
15836b07c90
hex4e934e2dc

21092426460 has 768 divisors, whose sum is σ = 82368921600. Its totient is φ = 4376706048.

The previous prime is 21092426449. The next prime is 21092426461. The reversal of 21092426460 is 6462429012.

21092426460 is a `hidden beast` number, since 2 + 1 + 0 + 9 + 2 + 4 + 2 + 646 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21092426461) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 254125579 + ... + 254125661.

It is an arithmetic number, because the mean of its divisors is an integer number (107251200).

Almost surely, 221092426460 is an apocalyptic number.

21092426460 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 21092426460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41184460800).

21092426460 is an abundant number, since it is smaller than the sum of its proper divisors (61276495140).

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

21092426460 is a wasteful number, since it uses less digits than its factorization.

21092426460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 21092426460 in words is "twenty-one billion, ninety-two million, four hundred twenty-six thousand, four hundred sixty".