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20012195840 = 21357213259
BaseRepresentation
bin10010101000110100…
…011110000000000000
31220122200110212210112
4102220310132000000
5311441110231330
613105442450452
71305630600200
oct225064360000
956580425715
1020012195840
11853a3a9a2a
123a66063a28
131b6c087b00
14d7bb7c400
157c1d79795
hex4a8d1e000

20012195840 has 504 divisors, whose sum is σ = 61520786280. Its totient is φ = 6226182144.

The previous prime is 20012195839. The next prime is 20012195849. The reversal of 20012195840 is 4859121002.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 20012195797 and 20012195806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20012195849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 339189731 + ... + 339189789.

Almost surely, 220012195840 is an apocalyptic number.

20012195840 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 20012195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30760393140).

20012195840 is an abundant number, since it is smaller than the sum of its proper divisors (41508590440).

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

20012195840 is an equidigital number, since it uses as much as digits as its factorization.

20012195840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The spelling of 20012195840 in words is "twenty billion, twelve million, one hundred ninety-five thousand, eight hundred forty".