Search a number
-
+
21739056857352 = 233433547927249
BaseRepresentation
bin1001111000101100001001…
…10000110000000100001000
32211222020022020202020220000
410330112010300300010020
510322133042023413402
6114122441310003000
74402411044302142
oct474260460600410
984866266666800
1021739056857352
116a2153395062a
1225312121a6460
13c18ca457b293
14552266bc9c92
1527a73948bc1c
hex13c584c30108

21739056857352 has 40 divisors (see below), whose sum is σ = 60889487958750. Its totient is φ = 7246352285568.

The previous prime is 21739056857333. The next prime is 21739056857383. The reversal of 21739056857352 is 25375865093712.

21739056857352 is a `hidden beast` number, since 2 + 1 + 7 + 3 + 9 + 0 + 5 + 6 + 8 + 573 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15618509504676 + 6120547352676 = 3952026^2 + 2473974^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21739056857352.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16773962977 + ... + 16773964272.

Almost surely, 221739056857352 is an apocalyptic number.

It is an amenable number.

21739056857352 is an abundant number, since it is smaller than the sum of its proper divisors (39150431101398).

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

21739056857352 is a wasteful number, since it uses less digits than its factorization.

21739056857352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33547927267 (or 33547927254 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 21739056857352 in words is "twenty-one trillion, seven hundred thirty-nine billion, fifty-six million, eight hundred fifty-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 33547927249 67095854498 100643781747 134191708996 201287563494 268383417992 301931345241 402575126988 603862690482 805150253976 905794035723 1207725380964 1811588071446 2415450761928 2717382107169 3623176142892 5434764214338 7246352285784 10869528428676 21739056857352