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21821050368 = 293213364267
BaseRepresentation
bin10100010100101000…
…101100111000000000
32002022202011012201200
4110110220230320000
5324142142102433
614005140501200
71401513603435
oct242450547000
962282135650
1021821050368
119288461127
12428b9aa800
132099a58230
1410b00bbb8c
1587aa81613
hex514a2ce00

21821050368 has 120 divisors (see below), whose sum is σ = 67821601848. Its totient is φ = 6714150912.

The previous prime is 21821050331. The next prime is 21821050369. The reversal of 21821050368 is 86305012812.

It is a happy number.

21821050368 is a `hidden beast` number, since 2 + 1 + 82 + 10 + 503 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21821050369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122230 + ... + 242037.

Almost surely, 221821050368 is an apocalyptic number.

It is an amenable number.

21821050368 is an abundant number, since it is smaller than the sum of its proper divisors (46000551480).

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

21821050368 is a wasteful number, since it uses less digits than its factorization.

21821050368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364304 (or 364285 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 21821050368 in words is "twenty-one billion, eight hundred twenty-one million, fifty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3744 4608 4992 6656 7488 9984 14976 19968 29952 59904 364267 728534 1092801 1457068 2185602 2914136 3278403 4371204 4735471 5828272 6556806 8742408 9470942 11656544 13113612 14206413 17484816 18941884 23313088 26227224 28412826 34969632 37883768 42619239 46626176 52454448 56825652 69939264 75767536 85238478 93252352 104908896 113651304 139878528 151535072 170476956 186504704 209817792 227302608 279757056 303070144 340953912 419635584 454605216 559514112 606140288 681907824 839271168 909210432 1212280576 1363815648 1678542336 1818420864 2424561152 2727631296 3636841728 5455262592 7273683456 10910525184 21821050368