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268115769 = 3241726601
BaseRepresentation
bin11111111101100…
…01111100111001
3200200111200200200
433332301330321
51022114201034
642334352413
76433642425
oct1776617471
9620450620
10268115769
11128387389
127595b709
13437162ac
1427873b85
1518811a99
hexffb1f39

268115769 has 12 divisors (see below), whose sum is σ = 396724692. Its totient is φ = 174384000.

The previous prime is 268115767. The next prime is 268115831. The reversal of 268115769 is 967511862.

268115769 is a `hidden beast` number, since 2 + 68 + 11 + 576 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48483369 + 219632400 = 6963^2 + 14820^2 .

It is not a de Polignac number, because 268115769 - 21 = 268115767 is a prime.

It is a super-2 number, since 2×2681157692 = 143772131172922722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268115767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 362932 + ... + 363669.

It is an arithmetic number, because the mean of its divisors is an integer number (33060391).

Almost surely, 2268115769 is an apocalyptic number.

It is an amenable number.

268115769 is a deficient number, since it is larger than the sum of its proper divisors (128608923).

268115769 is a wasteful number, since it uses less digits than its factorization.

268115769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726648 (or 726645 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 268115769 is about 16374.2410205786. The cubic root of 268115769 is about 644.8233949515.

The spelling of 268115769 in words is "two hundred sixty-eight million, one hundred fifteen thousand, seven hundred sixty-nine".

Divisors: 1 3 9 41 123 369 726601 2179803 6539409 29790641 89371923 268115769