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20950906310656 = 212721726012
BaseRepresentation
bin1001100001110000000110…
…10101000001000000000000
32202011212221200110010000021
410300320003111001000000
510221224424003420111
6112320414040303224
74261436663216200
oct460700325010000
982155850403007
1020950906310656
116748258472553
122424514171b14
13b8c87b50574a
1452605a494400
15264eab5cdd71
hex130e03541000

20950906310656 has 351 divisors, whose sum is σ = 51858782999127. Its totient is φ = 8436724531200.

The previous prime is 20950906310623. The next prime is 20950906310693. The reversal of 20950906310656 is 65601360905902.

The square root of 20950906310656 is 4577216.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8080147353600 + 12870758957056 = 2842560^2 + 3587584^2 .

It is a Duffinian number.

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, 34860076756 + ... + 34860077356.

Almost surely, 220950906310656 is an apocalyptic number.

20950906310656 is the 4577216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20950906310656

20950906310656 is an abundant number, since it is smaller than the sum of its proper divisors (30907876688471).

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

20950906310656 is an frugal number, since it uses more digits than its factorization.

20950906310656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 52.

The spelling of 20950906310656 in words is "twenty trillion, nine hundred fifty billion, nine hundred six million, three hundred ten thousand, six hundred fifty-six".