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21438044256 = 2531035713797
BaseRepresentation
bin10011111101110011…
…101001100001100000
32001100001110111010010
4103331303221201200
5322401114404011
613503135404520
71356153240516
oct237563514140
961301414103
1021438044256
119101242a52
1241a3683740
1320385b69b5
14107529c4b6
158571281a6
hex4fdce9860

21438044256 has 96 divisors (see below), whose sum is σ = 56935726848. Its totient is φ = 7062382080.

The previous prime is 21438044233. The next prime is 21438044323. The reversal of 21438044256 is 65244083412.

It is a tau number, because it is divible by the number of its divisors (96).

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, 5644150 + ... + 5647946.

It is an arithmetic number, because the mean of its divisors is an integer number (593080488).

Almost surely, 221438044256 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 21438044256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28467863424).

21438044256 is an abundant number, since it is smaller than the sum of its proper divisors (35497682592).

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

21438044256 is a wasteful number, since it uses less digits than its factorization.

21438044256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4484 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 21438044256 in words is "twenty-one billion, four hundred thirty-eight million, forty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 571 618 824 1142 1236 1648 1713 2284 2472 3296 3426 3797 4568 4944 6852 7594 9136 9888 11391 13704 15188 18272 22782 27408 30376 45564 54816 58813 60752 91128 117626 121504 176439 182256 235252 352878 364512 391091 470504 705756 782182 941008 1173273 1411512 1564364 1882016 2168087 2346546 2823024 3128728 4336174 4693092 5646048 6257456 6504261 8672348 9386184 12514912 13008522 17344696 18772368 26017044 34689392 37544736 52034088 69378784 104068176 208136352 223312961 446625922 669938883 893251844 1339877766 1786503688 2679755532 3573007376 5359511064 7146014752 10719022128 21438044256