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21590944048 = 2429831035443
BaseRepresentation
bin10100000110111010…
…111010100100110000
32001201201011121012101
4110012322322210300
5323204240202143
613530240510144
71363020665512
oct240672724460
961651147171
1021590944048
11917a585913
12422691b354
13206118c74b
14108b6ddbb2
1586577bb4d
hex506eba930

21590944048 has 80 divisors (see below), whose sum is σ = 44229669120. Its totient is φ = 10195782912.

The previous prime is 21590944033. The next prime is 21590944051. The reversal of 21590944048 is 84044909512.

It is a junction number, because it is equal to n+sod(n) for n = 21590943989 and 21590944007.

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, 3964015 + ... + 3969457.

It is an arithmetic number, because the mean of its divisors is an integer number (552870864).

Almost surely, 221590944048 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 21590944048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22114834560).

21590944048 is an abundant number, since it is smaller than the sum of its proper divisors (22638725072).

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

21590944048 is a wasteful number, since it uses less digits than its factorization.

21590944048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5666 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 21590944048 in words is "twenty-one billion, five hundred ninety million, nine hundred forty-four thousand, forty-eight".

Divisors: 1 2 4 8 16 29 58 83 103 116 166 206 232 332 412 464 664 824 1328 1648 2407 2987 4814 5443 5974 8549 9628 10886 11948 17098 19256 21772 23896 34196 38512 43544 47792 68392 87088 136784 157847 247921 315694 451769 495842 560629 631388 903538 991684 1121258 1262776 1807076 1983368 2242516 2525552 3614152 3966736 4485032 7228304 8970064 13101301 16258241 26202602 32516482 46532207 52405204 65032964 93064414 104810408 130065928 186128828 209620816 260131856 372257656 744515312 1349434003 2698868006 5397736012 10795472024 21590944048