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20078972584 = 23112323342577
BaseRepresentation
bin10010101100110011…
…001100111010101000
31220211100010111021021
4102230303030322220
5312110204110314
613120230022224
71310401310446
oct225463147250
956740114237
1020078972584
118574069320
123a844a7974
131b7cb68488
14d869a1b96
157c7b6a324
hex4accccea8

20078972584 has 64 divisors (see below), whose sum is σ = 43041248640. Its totient is φ = 8692316160.

The previous prime is 20078972581. The next prime is 20078972611. The reversal of 20078972584 is 48527987002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20078972581) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 450304 + ... + 492880.

It is an arithmetic number, because the mean of its divisors is an integer number (672519510).

Almost surely, 220078972584 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 20078972584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21520624320).

20078972584 is an abundant number, since it is smaller than the sum of its proper divisors (22962276056).

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

20078972584 is a wasteful number, since it uses less digits than its factorization.

20078972584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42850 (or 42846 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 52.

The spelling of 20078972584 in words is "twenty billion, seventy-eight million, nine hundred seventy-two thousand, five hundred eighty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 233 253 466 506 932 1012 1864 2024 2563 5126 5359 10252 10718 20504 21436 42577 42872 58949 85154 117898 170308 235796 340616 468347 471592 936694 979271 1873388 1958542 3746776 3917084 7834168 9920441 10771981 19840882 21543962 39681764 43087924 79363528 86175848 109124851 218249702 228170143 436499404 456340286 872998808 912680572 1825361144 2509871573 5019743146 10039486292 20078972584