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21444005632 = 287217100559
BaseRepresentation
bin10011111110001010…
…011000111100000000
32001100110200100120211
4103332022120330000
5322404131140012
613503511243504
71356255016600
oct237612307400
961313610524
1021444005632
119104644905
1241a5679594
1320398c323a
141075db0c00
158579046a7
hex4fe298f00

21444005632 has 108 divisors (see below), whose sum is σ = 52722200160. Its totient is φ = 8649596928.

The previous prime is 21444005629. The next prime is 21444005651. The reversal of 21444005632 is 23650044412.

It is a junction number, because it is equal to n+sod(n) for n = 21444005594 and 21444005603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162969 + ... + 263527.

It is an arithmetic number, because the mean of its divisors is an integer number (488168520).

Almost surely, 221444005632 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 21444005632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26361100080).

21444005632 is an abundant number, since it is smaller than the sum of its proper divisors (31278194528).

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

21444005632 is a wasteful number, since it uses less digits than its factorization.

21444005632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100606 (or 100585 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 21444005632 in words is "twenty-one billion, four hundred forty-four million, five thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 256 272 392 448 476 544 784 833 896 952 1088 1568 1666 1792 1904 2176 3136 3332 3808 4352 6272 6664 7616 12544 13328 15232 26656 30464 53312 100559 106624 201118 213248 402236 703913 804472 1407826 1608944 1709503 2815652 3217888 3419006 4927391 5631304 6435776 6838012 9854782 11262608 11966521 12871552 13676024 19709564 22525216 23933042 25743104 27352048 39419128 45050432 47866084 54704096 78838256 83765647 90100864 95732168 109408192 157676512 167531294 180201728 191464336 218816384 315353024 335062588 382928672 437632768 630706048 670125176 765857344 1261412096 1340250352 1531714688 2680500704 3063429376 5361001408 10722002816 21444005632