Search a number
-
+
21590823408 = 24371129201437
BaseRepresentation
bin10100000110111010…
…011101000111110000
32001201200221110201020
4110012322131013300
5323204222322113
613530234135440
71363016654010
oct240672350760
961650843636
1021590823408
11917a503210
124226881580
13206114986b
14108b6abc40
15865756023
hex506e9d1f0

21590823408 has 160 divisors (see below), whose sum is σ = 71937538560. Its totient is φ = 5414599680.

The previous prime is 21590823407. The next prime is 21590823421. The reversal of 21590823408 is 80432809512.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 21590823408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21590823407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6466 + ... + 207902.

It is an arithmetic number, because the mean of its divisors is an integer number (449609616).

Almost surely, 221590823408 is an apocalyptic number.

21590823408 is a gapful number since it is divisible by the number (28) 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 21590823408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35968769280).

21590823408 is an abundant number, since it is smaller than the sum of its proper divisors (50346715152).

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

21590823408 is a wasteful number, since it uses less digits than its factorization.

21590823408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201495 (or 201489 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 21590823408 in words is "twenty-one billion, five hundred ninety million, eight hundred twenty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 29 33 42 44 48 56 58 66 77 84 87 88 112 116 132 154 168 174 176 203 231 232 264 308 319 336 348 406 462 464 528 609 616 638 696 812 924 957 1218 1232 1276 1392 1624 1848 1914 2233 2436 2552 3248 3696 3828 4466 4872 5104 6699 7656 8932 9744 13398 15312 17864 26796 35728 53592 107184 201437 402874 604311 805748 1208622 1410059 1611496 2215807 2417244 2820118 3222992 4230177 4431614 4834488 5640236 5841673 6647421 8460354 8863228 9668976 11280472 11683346 13294842 15510649 16920708 17525019 17726456 22560944 23366692 26589684 31021298 33841416 35050038 35452912 40891711 46531947 46733384 53179368 62042596 64258403 67682832 70100076 81783422 93063894 93466768 106358736 122675133 124085192 128516806 140200152 163566844 186127788 192775209 245350266 248170384 257033612 280400304 327133688 372255576 385550418 449808821 490700532 514067224 654267376 744511152 771100836 899617642 981401064 1028134448 1349426463 1542201672 1799235284 1962802128 2698852926 3084403344 3598470568 5397705852 7196941136 10795411704 21590823408