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20494672592 = 24172911322993
BaseRepresentation
bin10011000101100100…
…111110001011010000
31221220022100020110212
4103011210332023100
5313433114010332
613225355543252
71323606562022
oct230544761320
957808306425
1020494672592
118767787949
123b7b75ab28
131c18015c04
14dc5c92012
157ee3d08b2
hex4c593e2d0

20494672592 has 80 divisors (see below), whose sum is σ = 43880829840. Its totient is φ = 9229172736.

The previous prime is 20494672591. The next prime is 20494672607. The reversal of 20494672592 is 29527649402.

It can be written as a sum of positive squares in 8 ways, for example, as 1032256 + 20493640336 = 1016^2 + 143156^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20494672592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20494672591) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 879848 + ... + 902840.

It is an arithmetic number, because the mean of its divisors is an integer number (548510373).

Almost surely, 220494672592 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 20494672592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21940414920).

20494672592 is an abundant number, since it is smaller than the sum of its proper divisors (23386157248).

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

20494672592 is a wasteful number, since it uses less digits than its factorization.

20494672592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23160 (or 23154 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 50.

The spelling of 20494672592 in words is "twenty billion, four hundred ninety-four million, six hundred seventy-two thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 17 29 34 58 68 113 116 136 226 232 272 452 464 493 904 986 1808 1921 1972 3277 3842 3944 6554 7684 7888 13108 15368 22993 26216 30736 45986 52432 55709 91972 111418 183944 222836 367888 390881 445672 666797 781762 891344 1333594 1563524 2598209 2667188 3127048 5196418 5334376 6254096 10392836 10668752 11335549 20785672 22671098 41571344 44169553 45342196 75348061 88339106 90684392 150696122 176678212 181368784 301392244 353356424 602784488 706712848 1205568976 1280917037 2561834074 5123668148 10247336296 20494672592