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21219339960 = 2334571379911
BaseRepresentation
bin10011110000110001…
…010110111010111000
32000202210221011020000
4103300301112322320
5321424122334320
613425324033000
71350556261620
oct236061267270
960683834200
1021219339960
118aa98451a5
124142392760
1320021b0c80
14105420b880
15842d26c90
hex4f0c56eb8

21219339960 has 640 divisors, whose sum is σ = 88987852800. Its totient is φ = 4415523840.

The previous prime is 21219339937. The next prime is 21219339971. The reversal of 21219339960 is 6993391212.

21219339960 is a `hidden beast` number, since 2 + 12 + 193 + 399 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23291905 + ... + 23292815.

It is an arithmetic number, because the mean of its divisors is an integer number (139043520).

Almost surely, 221219339960 is an apocalyptic number.

21219339960 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 21219339960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44493926400).

21219339960 is an abundant number, since it is smaller than the sum of its proper divisors (67768512840).

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

21219339960 is a wasteful number, since it uses less digits than its factorization.

21219339960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 21219339960 in words is "twenty-one billion, two hundred nineteen million, three hundred thirty-nine thousand, nine hundred sixty".