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21625592144 = 2413616725439
BaseRepresentation
bin10100001000111111…
…000101100101010000
32001211010100220110012
4110020333011211100
5323242122422034
613533515254052
71363621333412
oct241077054520
961733326405
1021625592144
1191980a0502
12423644a328
132068401290
14109215c9b2
15868822cce
hex508fc5950

21625592144 has 80 divisors (see below), whose sum is σ = 46548687360. Its totient is φ = 9670510080.

The previous prime is 21625592137. The next prime is 21625592171. The reversal of 21625592144 is 44129552612.

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, 837377 + ... + 862815.

It is an arithmetic number, because the mean of its divisors is an integer number (581858592).

Almost surely, 221625592144 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 21625592144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23274343680).

21625592144 is an abundant number, since it is smaller than the sum of its proper divisors (24923095216).

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

21625592144 is a wasteful number, since it uses less digits than its factorization.

21625592144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25588 (or 25582 counting only the distinct ones).

The product of its digits is 172800, while the sum is 41.

The spelling of 21625592144 in words is "twenty-one billion, six hundred twenty-five million, five hundred ninety-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 61 67 104 122 134 208 244 268 488 536 793 871 976 1072 1586 1742 3172 3484 4087 6344 6968 8174 12688 13936 16348 25439 32696 50878 53131 65392 101756 106262 203512 212524 330707 407024 425048 661414 850096 1322828 1551779 1704413 2645656 3103558 3408826 5291312 6207116 6817652 12414232 13635304 20173127 22157369 24828464 27270608 40346254 44314738 80692508 88629476 103969193 161385016 177258952 207938386 322770032 354517904 415876772 831753544 1351599509 1663507088 2703199018 5406398036 10812796072 21625592144