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20346753568 = 252927779153
BaseRepresentation
bin10010111100110000…
…101101001000100000
31221112000000011201111
4102330300231020200
5313132232103233
613202553313104
71320132360151
oct227460551040
957460004644
1020346753568
1186a1237119
123b3a105794
131bc349526b
14db0389928
157e1412acd
hex4bcc2d220

20346753568 has 48 divisors (see below), whose sum is σ = 41589094680. Its totient is φ = 9786986496.

The previous prime is 20346753533. The next prime is 20346753571. The reversal of 20346753568 is 86535764302.

It can be written as a sum of positive squares in 4 ways, for example, as 17105500944 + 3241252624 = 130788^2 + 56932^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217480 + ... + 296632.

Almost surely, 220346753568 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 20346753568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20794547340).

20346753568 is an abundant number, since it is smaller than the sum of its proper divisors (21242341112).

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

20346753568 is a wasteful number, since it uses less digits than its factorization.

20346753568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79469 (or 79461 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 49.

The spelling of 20346753568 in words is "twenty billion, three hundred forty-six million, seven hundred fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 116 232 277 464 554 928 1108 2216 4432 8033 8864 16066 32132 64264 79153 128528 158306 257056 316612 633224 1266448 2295437 2532896 4590874 9181748 18363496 21925381 36726992 43850762 73453984 87701524 175403048 350806096 635836049 701612192 1271672098 2543344196 5086688392 10173376784 20346753568