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20968423560 = 233357171931277
BaseRepresentation
bin10011100001110100…
…001100000010001000
32000010022210021122000
4103201310030002020
5320420404023220
613344402031000
71341421442130
oct234164140210
960108707560
1020968423560
118990145a77
124092348460
131c9220a426
14102cb73ac0
1582acb1390
hex4e1d0c088

20968423560 has 1024 divisors, whose sum is σ = 92233728000. Its totient is φ = 4120657920.

The previous prime is 20968423493. The next prime is 20968423571. The reversal of 20968423560 is 6532486902.

20968423560 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 84 + 2 + 3 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 75698142 + ... + 75698418.

It is an arithmetic number, because the mean of its divisors is an integer number (90072000).

Almost surely, 220968423560 is an apocalyptic number.

20968423560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20968423560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46116864000).

20968423560 is an abundant number, since it is smaller than the sum of its proper divisors (71265304440).

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

20968423560 is a wasteful number, since it uses less digits than its factorization.

20968423560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 20968423560 in words is "twenty billion, nine hundred sixty-eight million, four hundred twenty-three thousand, five hundred sixty".