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20763657216 = 21032192792
BaseRepresentation
bin10011010101100111…
…000100010000000000
31222121001111002000100
4103111213010100000
5320010444012331
613312205122400
71333354113531
oct232547042000
958531432010
1020763657216
1188955a7a95
124035859400
131c5b974803
14100d8b0688
15817d14ae6
hex4d59c4400

20763657216 has 297 divisors, whose sum is σ = 64087297911. Its totient is φ = 6473945088.

The previous prime is 20763657209. The next prime is 20763657223. The reversal of 20763657216 is 61275636702.

The square root of 20763657216 is 144096.

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

20763657216 is a `hidden beast` number, since 2 + 0 + 7 + 63 + 6 + 572 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (20763657209) and next prime (20763657223).

It is a super-2 number, since 2×207636572162 (a number of 21 digits) contains 22 as substring.

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, 262831065 + ... + 262831143.

Almost surely, 220763657216 is an apocalyptic number.

20763657216 is the 144096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20763657216

20763657216 is an abundant number, since it is smaller than the sum of its proper divisors (43323640695).

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

20763657216 is an equidigital number, since it uses as much as digits as its factorization.

20763657216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 20763657216 in words is "twenty billion, seven hundred sixty-three million, six hundred fifty-seven thousand, two hundred sixteen".