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20014795776 = 2103171923877
BaseRepresentation
bin10010101000111110…
…011000110000000000
31220122212100222020110
4102220332120300000
5311442241431101
613110014311320
71305661646163
oct225076306000
956585328213
1020014795776
118540915338
123a66ab8540
131b6c788331
14d7c257ada
157c21decd6
hex4a8f98c00

20014795776 has 352 divisors, whose sum is σ = 62113512960. Its totient is φ = 5683544064.

The previous prime is 20014795751. The next prime is 20014795777. The reversal of 20014795776 is 67759741002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (20014795777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22821450 + ... + 22822326.

Almost surely, 220014795776 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 20014795776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31056756480).

20014795776 is an abundant number, since it is smaller than the sum of its proper divisors (42098717184).

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

20014795776 is a wasteful number, since it uses less digits than its factorization.

20014795776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 48.

The spelling of 20014795776 in words is "twenty billion, fourteen million, seven hundred ninety-five thousand, seven hundred seventy-six".