Search a number
-
+
21658439834928 = 24321359196096261
BaseRepresentation
bin1001110110010101111111…
…00111001101110100110000
32211200112012220121012020200
410323022333213031310300
510314322441044204203
6114021425551235200
74363525221023301
oct473127747156460
984615186535220
1021658439834928
1169a032471a466
122519673818b00
13c114c766a850
1454c3ba1167a8
152785bbc3b9a3
hex13b2bf9cdd30

21658439834928 has 120 divisors (see below), whose sum is σ = 66382506612240. Its totient is φ = 6551183854080.

The previous prime is 21658439834917. The next prime is 21658439834947. The reversal of 21658439834928 is 82943893485612.

21658439834928 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 8 + 43 + 98 + 3 + 492 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97937683 + ... + 98158578.

It is an arithmetic number, because the mean of its divisors is an integer number (553187555102).

Almost surely, 221658439834928 is an apocalyptic number.

It is an amenable number.

21658439834928 is an abundant number, since it is smaller than the sum of its proper divisors (44724066777312).

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

21658439834928 is a wasteful number, since it uses less digits than its factorization.

21658439834928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196096347 (or 196096338 counting only the distinct ones).

The product of its digits is 716636160, while the sum is 72.

The spelling of 21658439834928 in words is "twenty-one trillion, six hundred fifty-eight billion, four hundred thirty-nine million, eight hundred thirty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 59 72 78 104 117 118 144 156 177 208 234 236 312 354 468 472 531 624 708 767 936 944 1062 1416 1534 1872 2124 2301 2832 3068 4248 4602 6136 6903 8496 9204 12272 13806 18408 27612 36816 55224 110448 196096261 392192522 588288783 784385044 1176577566 1568770088 1764866349 2353155132 2549251393 3137540176 3529732698 4706310264 5098502786 7059465396 7647754179 9412620528 10197005572 11569679399 14118930792 15295508358 20394011144 22943262537 23139358798 28237861584 30591016716 34709038197 40788022288 45886525074 46278717596 61182033432 69418076394 91773050148 92557435192 104127114591 122364066864 138836152788 150405832187 183546100296 185114870384 208254229182 277672305576 300811664374 367092200592 416508458364 451217496561 555344611152 601623328748 833016916728 902434993122 1203246657496 1353652489683 1666033833456 1804869986244 2406493314992 2707304979366 3609739972488 5414609958732 7219479944976 10829219917464 21658439834928