Search a number
-
+
3187923600968 = 231727125232
BaseRepresentation
bin101110011000111111000…
…011011100011001001000
3102021202120212200022211022
4232120333003130121020
5404212331420212333
610440302322252012
7446214501336461
oct56307703343110
912252525608738
103187923600968
111019a99844607
12435a111b7008
131a1809c18222
14b042118dd68
1557dd28a5c98
hex2e63f0dc648

3187923600968 has 108 divisors (see below), whose sum is σ = 6452677914345. Its totient is φ = 1476241724160.

The previous prime is 3187923600959. The next prime is 3187923601001. The reversal of 3187923600968 is 8690063297813.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3187923600968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2917667101924 + 270256499044 = 1708118^2 + 519862^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1262522.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3187923600968.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6095455955 + ... + 6095456477.

Almost surely, 23187923600968 is an apocalyptic number.

It is an amenable number.

3187923600968 is an abundant number, since it is smaller than the sum of its proper divisors (3264754313377).

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

3187923600968 is an frugal number, since it uses more digits than its factorization.

3187923600968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 62.

The spelling of 3187923600968 in words is "three trillion, one hundred eighty-seven billion, nine hundred twenty-three million, six hundred thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 17 34 68 71 136 142 284 289 523 568 578 1046 1156 1207 2092 2312 2414 4184 4828 5041 8891 9656 10082 17782 20164 20519 35564 37133 40328 41038 71128 74266 82076 85697 148532 151147 164152 171394 273529 297064 302294 342788 547058 604588 631261 685576 1094116 1209176 1262522 1456849 2188232 2525044 2636443 2913698 4649993 5050088 5272886 5827396 9299986 10545772 10731437 11654792 18599972 19420559 21091544 21462874 37199944 38841118 42925748 44819531 77682236 79049881 85851496 89639062 155364472 158099762 179278124 316199524 330149503 358556248 632399048 660299006 761932027 1320598012 1378859689 1523864054 2641196024 2757719378 3047728108 5515438756 5612541551 6095456216 11030877512 11225083102 22450166204 23440614713 44900332408 46881229426 93762458852 187524917704 398490450121 796980900242 1593961800484 3187923600968