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20122562460 = 2235721113232081
BaseRepresentation
bin10010101111011001…
…011110111110011100
31220221101011002100010
4102233121132332130
5312202333444320
613124424203220
71311440646600
oct225731367634
956841132303
1020122562460
118596731010
123a97009510
131b88bbacc0
14d8c6ab500
157cb8caae0
hex4af65ef9c

20122562460 has 576 divisors, whose sum is σ = 80386919424. Its totient is φ = 3690086400.

The previous prime is 20122562441. The next prime is 20122562491. The reversal of 20122562460 is 6426522102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9668620 + ... + 9670700.

It is an arithmetic number, because the mean of its divisors is an integer number (139560624).

Almost surely, 220122562460 is an apocalyptic number.

20122562460 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 20122562460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40193459712).

20122562460 is an abundant number, since it is smaller than the sum of its proper divisors (60264356964).

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

20122562460 is a wasteful number, since it uses less digits than its factorization.

20122562460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 20122562460 in words is "twenty billion, one hundred twenty-two million, five hundred sixty-two thousand, four hundred sixty".