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20575293144 = 2337883713859
BaseRepresentation
bin10011001010011000…
…100000111011011000
31222002221001012002020
4103022120200323120
5314114233340034
613241355534440
71325606051250
oct231230407330
958087035066
1020575293144
1187a92422aa
123ba275a420
131c2b932893
14dd287a960
15806508249
hex4ca620ed8

20575293144 has 64 divisors (see below), whose sum is σ = 58797446400. Its totient is φ = 5877565824.

The previous prime is 20575293091. The next prime is 20575293191. The reversal of 20575293144 is 44139257502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 20575293096 and 20575293105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1477687 + ... + 1491545.

It is an arithmetic number, because the mean of its divisors is an integer number (918710100).

Almost surely, 220575293144 is an apocalyptic number.

20575293144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20575293144 is an abundant number, since it is smaller than the sum of its proper divisors (38222153256).

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

20575293144 is a wasteful number, since it uses less digits than its factorization.

20575293144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22712 (or 22708 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 20575293144 in words is "twenty billion, five hundred seventy-five million, two hundred ninety-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 8837 13859 17674 26511 27718 35348 41577 53022 55436 61859 70696 83154 97013 106044 110872 123718 166308 185577 194026 212088 247436 291039 332616 371154 388052 494872 582078 742308 776104 1164156 1484616 2328312 122471983 244943966 367415949 489887932 734831898 857303881 979775864 1469663796 1714607762 2571911643 2939327592 3429215524 5143823286 6858431048 10287646572 20575293144