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20722504428 = 22369677349
BaseRepresentation
bin10011010011001010…
…000101001011101100
31222111012001022000000
4103103022011023230
5314414430120203
613304135104300
71332344244543
oct232312051354
958435038000
1020722504428
11887434a31a
124023b12090
131c53296352
14100823b15a
158143d64a3
hex4d32852ec

20722504428 has 84 divisors (see below), whose sum is σ = 54435334800. Its totient is φ = 6899419296.

The previous prime is 20722504391. The next prime is 20722504447. The reversal of 20722504428 is 82440522702.

20722504428 is a `hidden beast` number, since 2 + 0 + 7 + 225 + 0 + 4 + 428 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20722504392 and 20722504401.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2816098 + ... + 2823446.

It is an arithmetic number, because the mean of its divisors is an integer number (648039700).

Almost surely, 220722504428 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 20722504428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27217667400).

20722504428 is an abundant number, since it is smaller than the sum of its proper divisors (33712830372).

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

20722504428 is an equidigital number, since it uses as much as digits as its factorization.

20722504428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8338 (or 8321 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 20722504428 in words is "twenty billion, seven hundred twenty-two million, five hundred four thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 967 972 1458 1934 2901 2916 3868 5802 7349 8703 11604 14698 17406 22047 26109 29396 34812 44094 52218 66141 78327 88188 104436 132282 156654 198423 234981 264564 313308 396846 469962 595269 704943 793692 939924 1190538 1409886 1785807 2381076 2819772 3571614 5357421 7106483 7143228 10714842 14212966 21319449 21429684 28425932 42638898 63958347 85277796 127916694 191875041 255833388 383750082 575625123 767500164 1151250246 1726875369 2302500492 3453750738 5180626107 6907501476 10361252214 20722504428