Search a number
-
+
12570068268 = 22367359051
BaseRepresentation
bin10111011010011110…
…00000010100101100
31012110000210122000000
423231033000110230
5201220414141033
65435152104300
7623332550232
oct135517002454
935400718000
1012570068268
11537052637a
122529835090
1312542b0524
14873612952
154d8829a13
hex2ed3c052c

12570068268 has 84 divisors (see below), whose sum is σ = 33433707048. Its totient is φ = 4132555200.

The previous prime is 12570068257. The next prime is 12570068293. The reversal of 12570068268 is 86286007521.

12570068268 is a `hidden beast` number, since 12 + 570 + 0 + 6 + 8 + 2 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 183343 + ... + 242393.

It is an arithmetic number, because the mean of its divisors is an integer number (398020322).

Almost surely, 212570068268 is an apocalyptic number.

12570068268 is a gapful number since it is divisible by the number (18) 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 12570068268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16716853524).

12570068268 is an abundant number, since it is smaller than the sum of its proper divisors (20863638780).

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

12570068268 is an equidigital number, since it uses as much as digits as its factorization.

12570068268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59146 (or 59129 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 12570068268 in words is "twelve billion, five hundred seventy million, sixty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 243 292 324 438 486 657 729 876 972 1314 1458 1971 2628 2916 3942 5913 7884 11826 17739 23652 35478 53217 59051 70956 106434 118102 177153 212868 236204 354306 531459 708612 1062918 1594377 2125836 3188754 4310723 4783131 6377508 8621446 9566262 12932169 14349393 17242892 19132524 25864338 28698786 38796507 43048179 51728676 57397572 77593014 86096358 116389521 155186028 172192716 232779042 349168563 465558084 698337126 1047505689 1396674252 2095011378 3142517067 4190022756 6285034134 12570068268