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20584476752 = 247839972221
BaseRepresentation
bin10011001010111011…
…100011000001010000
31222010120022202121212
4103022323203001100
5314124111224002
613242324435252
71326050110520
oct231273430120
958116282555
1020584476752
118803445064
123ba5848b28
131c307c9978
14dd3b8b680
1580721e352
hex4caee3050

20584476752 has 80 divisors (see below), whose sum is σ = 46196126592. Its totient is φ = 8702968320.

The previous prime is 20584476751. The next prime is 20584476893. The reversal of 20584476752 is 25767448502.

It is a self number, because there is not a number n which added to its sum of digits gives 20584476752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20584476751) 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, 9267002 + ... + 9269222.

Almost surely, 220584476752 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 20584476752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23098063296).

20584476752 is an abundant number, since it is smaller than the sum of its proper divisors (25611649840).

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

20584476752 is a wasteful number, since it uses less digits than its factorization.

20584476752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 50.

The spelling of 20584476752 in words is "twenty billion, five hundred eighty-four million, four hundred seventy-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 166 332 581 664 997 1162 1328 1994 2221 2324 3988 4442 4648 6979 7976 8884 9296 13958 15547 15952 17768 27916 31094 35536 55832 62188 82751 111664 124376 165502 184343 248752 331004 368686 579257 662008 737372 1158514 1290401 1324016 1474744 2214337 2317028 2580802 2949488 4428674 4634056 5161604 8857348 9268112 10323208 15500359 17714696 20646416 31000718 35429392 62001436 124002872 183789971 248005744 367579942 735159884 1286529797 1470319768 2573059594 2940639536 5146119188 10292238376 20584476752