Search a number
-
+
268463464364862 = 232135710012009243
BaseRepresentation
bin111101000010101010000101…
…011011011011101100111110
31022012112212010102101010022200
4331002222011123123230332
5240142001133334133422
62350550225105452330
7110355562625502354
oct7502520533335476
91265485112333280
10268463464364862
11785a47968956a8
122613a0270410a6
13b6a4cc446a470
144a419b57b57d4
15210853de222ac
hexf42a856dbb3e

268463464364862 has 48 divisors (see below), whose sum is σ = 626416158998448. Its totient is φ = 82603957104000.

The previous prime is 268463464364831. The next prime is 268463464364881.

268463464364862 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 63 + 46 + 43 + 6 + 486 + 2 = 666.

268463464364862 is nontrivially palindromic in base 10.

It is a congruent number.

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, 132609613 + ... + 134618855.

It is an arithmetic number, because the mean of its divisors is an integer number (13050336645801).

Almost surely, 2268463464364862 is an apocalyptic number.

268463464364862 is an abundant number, since it is smaller than the sum of its proper divisors (357952694633586).

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

268463464364862 is a wasteful number, since it uses less digits than its factorization.

268463464364862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580265 (or 2580262 counting only the distinct ones).

The product of its digits is 4586471424, while the sum is 72.

The spelling of 268463464364862 in words is "two hundred sixty-eight trillion, four hundred sixty-three billion, four hundred sixty-four million, three hundred sixty-four thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 571001 1142002 1713003 2009243 3426006 4018486 5139009 6027729 7423013 10278018 12055458 14846026 18083187 22269039 26120159 36166374 44538078 52240318 66807117 78360477 133614234 156720954 235081431 470162862 1147279762243 2294559524486 3441839286729 6883678573458 10325517860187 14914636909159 20651035720374 29829273818318 44743910727477 89487821454954 134231732182431 268463464364862