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20601257472 = 29343831297
BaseRepresentation
bin10011001011111011…
…100011111000000000
31222011201220022110000
4103023323203320000
5314142410214342
613244124240000
71326342541065
oct231373437000
958151808400
1020601257472
118811966724
123bab3a0000
131c341239a3
14dd60b8c6c
1580893644c
hex4cbee3e00

20601257472 has 200 divisors, whose sum is σ = 61697408256. Its totient is φ = 6843875328.

The previous prime is 20601257447. The next prime is 20601257489. The reversal of 20601257472 is 27475210602.

It is a happy number.

20601257472 is a `hidden beast` number, since 2 + 0 + 6 + 0 + 12 + 574 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 15883128 + ... + 15884424.

Almost surely, 220601257472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20601257472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30848704128).

20601257472 is an abundant number, since it is smaller than the sum of its proper divisors (41096150784).

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

20601257472 is an equidigital number, since it uses as much as digits as its factorization.

20601257472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 20601257472 in words is "twenty billion, six hundred one million, two hundred fifty-seven thousand, four hundred seventy-two".