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20960457168 = 243728911759
BaseRepresentation
bin10011100001010101…
…110011000111010000
32000002202210112210110
4103201111303013100
5320411334112133
613343515201320
71341263642400
oct234125630720
960082715713
1020960457168
1189866a4782
12408b746240
131c9067b3a1
14102ba9c800
1582a23ac63
hex4e15731d0

20960457168 has 60 divisors (see below), whose sum is σ = 62988319680. Its totient is φ = 5988701376.

The previous prime is 20960457157. The next prime is 20960457169. The reversal of 20960457168 is 86175406902.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20960457169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4453528 + ... + 4458231.

It is an arithmetic number, because the mean of its divisors is an integer number (1049805328).

Almost surely, 220960457168 is an apocalyptic number.

20960457168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20960457168 is an abundant number, since it is smaller than the sum of its proper divisors (42027862512).

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

20960457168 is a wasteful number, since it uses less digits than its factorization.

20960457168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8911784 (or 8911771 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 20960457168 in words is "twenty billion, nine hundred sixty million, four hundred fifty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 8911759 17823518 26735277 35647036 53470554 62382313 71294072 106941108 124764626 142588144 187146939 213882216 249529252 374293878 427764432 436676191 499058504 748587756 873352382 998117008 1310028573 1497175512 1746704764 2620057146 2994351024 3493409528 5240114292 6986819056 10480228584 20960457168