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20206125810 = 23351331233797
BaseRepresentation
bin10010110100011000…
…010000001011110010
31221011012101112201000
4102310120100023302
5312340232011220
613141011222430
71313504143533
oct226430201362
957135345630
1020206125810
118629916432
123ababa7a16
131ba02c8280
14d9982068a
157d3dd5390
hex4b46102f2

20206125810 has 256 divisors, whose sum is σ = 60232273920. Its totient is φ = 4786698240.

The previous prime is 20206125781. The next prime is 20206125827. The reversal of 20206125810 is 1852160202.

It is a happy number.

20206125810 is a `hidden beast` number, since 2 + 0 + 20 + 61 + 2 + 581 + 0 = 666.

It is a super-2 number, since 2×202061258102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25352332 + ... + 25353128.

It is an arithmetic number, because the mean of its divisors is an integer number (235282320).

Almost surely, 220206125810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20206125810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30116136960).

20206125810 is an abundant number, since it is smaller than the sum of its proper divisors (40026148110).

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

20206125810 is a wasteful number, since it uses less digits than its factorization.

20206125810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 20206125810 in words is "twenty billion, two hundred six million, one hundred twenty-five thousand, eight hundred ten".