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21912425640 = 23335721923137
BaseRepresentation
bin10100011010000101…
…010001010010101000
32002120010002120001000
4110122011101102220
5324334040110030
614022203155000
71404003354600
oct243205212250
962503076030
1021912425640
119324aa1786
1242b6515a60
1320b296c141
1410bc2a5c00
15883ad0860
hex51a1514a8

21912425640 has 1152 divisors, whose sum is σ = 95068339200. Its totient is φ = 4467778560.

The previous prime is 21912425597. The next prime is 21912425641. The reversal of 21912425640 is 4652421912.

It is a happy number.

21912425640 is a `hidden beast` number, since 2 + 1 + 9 + 1 + 2 + 4 + 2 + 5 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21912425595 and 21912425604.

It is not an unprimeable number, because it can be changed into a prime (21912425641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 592227702 + ... + 592227738.

It is an arithmetic number, because the mean of its divisors is an integer number (82524600).

Almost surely, 221912425640 is an apocalyptic number.

21912425640 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 21912425640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47534169600).

21912425640 is an abundant number, since it is smaller than the sum of its proper divisors (73155913560).

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

21912425640 is a wasteful number, since it uses less digits than its factorization.

21912425640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 21912425640 in words is "twenty-one billion, nine hundred twelve million, four hundred twenty-five thousand, six hundred forty".