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20916101376 = 28322321312
BaseRepresentation
bin10011011110101100…
…100110000100000000
31222222200100001002100
4103132230212010000
5320314010221001
613335252350400
71340214633252
oct233654460400
958880301070
1020916101376
1189636595a5
124078915400
131c8441b061
141025c33cd2
158263c8586
hex4deb26100

20916101376 has 243 divisors, whose sum is σ = 63527201647. Its totient is φ = 6617994240.

The previous prime is 20916101359. The next prime is 20916101411. The reversal of 20916101376 is 67310161902.

The square root of 20916101376 is 144624.

It is a perfect power (a square), and thus also a powerful number.

20916101376 is a `hidden beast` number, since 2 + 0 + 9 + 1 + 610 + 1 + 37 + 6 = 666.

It is a super-2 number, since 2×209161013762 (a number of 21 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20916101376.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 159664831 + ... + 159664961.

Almost surely, 220916101376 is an apocalyptic number.

20916101376 is the 144624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20916101376

20916101376 is an abundant number, since it is smaller than the sum of its proper divisors (42611100271).

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

20916101376 is an equidigital number, since it uses as much as digits as its factorization.

20916101376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

Multiplying 20916101376 by its sum of digits (36), we get a square (752979649536 = 8677442).

20916101376 divided by its sum of digits (36) gives a square (581002816 = 241042).

The spelling of 20916101376 in words is "twenty billion, nine hundred sixteen million, one hundred one thousand, three hundred seventy-six".