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21481868772 = 22327137192357
BaseRepresentation
bin10100000000011010…
…110100110111100100
32001110002221000001100
4110000122310313210
5322443324300042
613511343000100
71360224605010
oct240032646744
961402830040
1021481868772
119123a55a61
1241b6299030
1320446bc270
14107b029540
1585add324c
hex5006b4de4

21481868772 has 144 divisors (see below), whose sum is σ = 67774516992. Its totient is φ = 5585690880.

The previous prime is 21481868767. The next prime is 21481868777. The reversal of 21481868772 is 27786818412.

21481868772 is a `hidden beast` number, since 2 + 1 + 481 + 86 + 87 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (21481868767) and next prime (21481868777).

It is a super-2 number, since 2×214818687722 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21481868777) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186418 + ... + 278774.

It is an arithmetic number, because the mean of its divisors is an integer number (470656368).

Almost surely, 221481868772 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 21481868772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33887258496).

21481868772 is an abundant number, since it is smaller than the sum of its proper divisors (46292648220).

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

21481868772 is a wasteful number, since it uses less digits than its factorization.

21481868772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92458 (or 92453 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 54.

The spelling of 21481868772 in words is "twenty-one billion, four hundred eighty-one million, eight hundred sixty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 71 78 84 91 117 126 142 156 182 213 234 252 273 284 364 426 468 497 546 639 819 852 923 994 1092 1278 1491 1638 1846 1988 2556 2769 2982 3276 3692 4473 5538 5964 6461 8307 8946 11076 12922 16614 17892 19383 25844 33228 38766 58149 77532 92357 116298 184714 232596 277071 369428 554142 646499 831213 1108284 1200641 1292998 1662426 1939497 2401282 2585996 3324852 3601923 3878994 4802564 5818491 6557347 7203846 7757988 8404487 10805769 11636982 13114694 14407692 16808974 19672041 21611538 23273964 25213461 26229388 33617948 39344082 43223076 45901429 50426922 59016123 75640383 78688164 85245511 91802858 100853844 118032246 137704287 151280766 170491022 183605716 236064492 255736533 275408574 302561532 340982044 413112861 511473066 550817148 596718577 767209599 826225722 1022946132 1193437154 1534419198 1652451444 1790155731 2386874308 3068838396 3580311462 5370467193 7160622924 10740934386 21481868772