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20914661376 = 21134723183
BaseRepresentation
bin10011011110100111…
…000110100000000000
31222222120121212210000
4103132213012200000
5320313123131001
613335201440000
71340166455100
oct233647064000
958876555700
1020914661376
118962865714
124078340000
131c8403579b
14102597b200
158261e1a86
hex4de9c6800

20914661376 has 720 divisors, whose sum is σ = 75917761920. Its totient is φ = 5713182720.

The previous prime is 20914661363. The next prime is 20914661377. The reversal of 20914661376 is 67316641902.

20914661376 is a `hidden beast` number, since 20 + 9 + 1 + 4 + 6 + 613 + 7 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (20914661377) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 251983831 + ... + 251983913.

It is an arithmetic number, because the mean of its divisors is an integer number (105441336).

Almost surely, 220914661376 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 20914661376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37958880960).

20914661376 is an abundant number, since it is smaller than the sum of its proper divisors (55003100544).

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

20914661376 is an equidigital number, since it uses as much as digits as its factorization.

20914661376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 20914661376 in words is "twenty billion, nine hundred fourteen million, six hundred sixty-one thousand, three hundred seventy-six".