Search a number
-
+
21493959656 = 23131767421431
BaseRepresentation
bin10100000001001000…
…111100101111101000
32001110221200021121212
4110001020330233220
5323004423202111
613512454052252
71360432433261
oct240110745750
961427607555
1021493959656
11912a864024
1241ba34a088
132047063730
14107c895968
1585bec098b
hex50123cbe8

21493959656 has 128 divisors (see below), whose sum is σ = 46859420160. Its totient is φ = 9154252800.

The previous prime is 21493959653. The next prime is 21493959689. The reversal of 21493959656 is 65695939412.

It is a junction number, because it is equal to n+sod(n) for n = 21493959595 and 21493959604.

It is not an unprimeable number, because it can be changed into a prime (21493959653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49869761 + ... + 49870191.

It is an arithmetic number, because the mean of its divisors is an integer number (366089220).

Almost surely, 221493959656 is an apocalyptic number.

21493959656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21493959656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23429710080).

21493959656 is an abundant number, since it is smaller than the sum of its proper divisors (25365460504).

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

21493959656 is a wasteful number, since it uses less digits than its factorization.

21493959656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 951 counting only the distinct ones).

The product of its digits is 15746400, while the sum is 59.

The spelling of 21493959656 in words is "twenty-one billion, four hundred ninety-three million, nine hundred fifty-nine thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 17 26 34 52 67 68 104 134 136 221 268 421 431 442 536 842 862 871 884 1139 1684 1724 1742 1768 2278 3368 3448 3484 4556 5473 5603 6968 7157 7327 9112 10946 11206 14314 14654 14807 21892 22412 28207 28628 28877 29308 29614 43784 44824 56414 57256 57754 58616 59228 93041 95251 112828 115508 118456 181451 186082 190502 225656 231016 362902 366691 372164 375401 381004 479519 490909 725804 733382 744328 750802 762008 959038 981818 1451608 1466764 1501604 1918076 1963636 2358863 2933528 3003208 3084667 3836152 3927272 4717726 6169334 6233747 6381817 9435452 12157217 12338668 12467494 12763634 18870904 24314434 24677336 24934988 25527268 40100671 48628868 49869976 51054536 80201342 97257736 158043821 160402684 206672689 316087642 320805368 413345378 632175284 826690756 1264350568 1653381512 2686744957 5373489914 10746979828 21493959656