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268834142268 = 22344211970867
BaseRepresentation
bin1111101001011111000…
…0110111100000111100
3221200220111212102020000
43322113300313200330
513401033020023033
6323300052354300
725264650335346
oct3722760674074
9850814772200
10268834142268
11a401495708a
1244128015990
131c474067883
14d023d34296
156ed6540a13
hex3e97c3783c

268834142268 has 60 divisors (see below), whose sum is σ = 704455232712. Its totient is φ = 89398481760.

The previous prime is 268834142267. The next prime is 268834142279. The reversal of 268834142268 is 862241438862.

268834142268 is a `hidden beast` number, since 268 + 83 + 4 + 1 + 42 + 268 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268834142267) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 849030 + ... + 1121837.

Almost surely, 2268834142268 is an apocalyptic number.

It is an amenable number.

268834142268 is an abundant number, since it is smaller than the sum of its proper divisors (435621090444).

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

268834142268 is a wasteful number, since it uses less digits than its factorization.

268834142268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971304 (or 1971293 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 268834142268 in words is "two hundred sixty-eight billion, eight hundred thirty-four million, one hundred forty-two thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 421 842 1263 1684 2526 3789 5052 7578 11367 15156 22734 34101 45468 68202 136404 1970867 3941734 5912601 7883468 11825202 17737803 23650404 35475606 53213409 70951212 106426818 159640227 212853636 319280454 638560908 829735007 1659470014 2489205021 3318940028 4978410042 7467615063 9956820084 14935230126 22402845189 29870460252 44805690378 67208535567 89611380756 134417071134 268834142268