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20685925260 = 22335731121371
BaseRepresentation
bin10011010000111110…
…100010101110001100
31222101122012212211000
4103100332202232030
5314331044102020
613300351100300
71331421315000
oct232076425614
958348185730
1020685925260
118855735900
124013811690
131c48829880
141003438700
158110ad090
hex4d0fa2b8c

20685925260 has 1152 divisors, whose sum is σ = 90091008000. Its totient is φ = 3911846400.

The previous prime is 20685925229. The next prime is 20685925289. The reversal of 20685925260 is 6252958602.

20685925260 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 592 + 52 + 6 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 291351025 + ... + 291351095.

It is an arithmetic number, because the mean of its divisors is an integer number (78204000).

Almost surely, 220685925260 is an apocalyptic number.

20685925260 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 20685925260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45045504000).

20685925260 is an abundant number, since it is smaller than the sum of its proper divisors (69405082740).

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

20685925260 is a wasteful number, since it uses less digits than its factorization.

20685925260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 20685925260 in words is "twenty billion, six hundred eighty-five million, nine hundred twenty-five thousand, two hundred sixty".