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20076188928 = 28358744533
BaseRepresentation
bin10010101100101000…
…100101010100000000
31220211010220001210220
4102230220211110000
5312104001021203
613120050223040
71310335535025
oct225450452400
956733801726
1020076188928
118572537984
123a83584a80
131b7c402443
14d8647954c
157c77ba653
hex4aca25500

20076188928 has 72 divisors (see below), whose sum is σ = 53524167648. Its totient is φ = 6680512512.

The previous prime is 20076188921. The next prime is 20076188971. The reversal of 20076188928 is 82988167002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20076188921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 428550 + ... + 473082.

Almost surely, 220076188928 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 20076188928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26762083824).

20076188928 is an abundant number, since it is smaller than the sum of its proper divisors (33447978720).

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

20076188928 is an equidigital number, since it uses as much as digits as its factorization.

20076188928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45139 (or 45125 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 20076188928 in words is "twenty billion, seventy-six million, one hundred eighty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 587 768 1174 1761 2348 3522 4696 7044 9392 14088 18784 28176 37568 44533 56352 75136 89066 112704 133599 150272 178132 225408 267198 356264 450816 534396 712528 1068792 1425056 2137584 2850112 4275168 5700224 8550336 11400448 17100672 26140871 34201344 52281742 78422613 104563484 156845226 209126968 313690452 418253936 627380904 836507872 1254761808 1673015744 2509523616 3346031488 5019047232 6692062976 10038094464 20076188928