Search a number
-
+
268136250309 = 32241772316007
BaseRepresentation
bin1111100110111000101…
…0100111101111000101
3221122002212122211102200
43321232022213233011
513343120340002214
6323102522225113
725241444344044
oct3715612475705
9848085584380
10268136250309
11a3796a17574
1243b72355199
131c3925b5b55
14cd9938855b
156e95137d09
hex3e6e2a7bc5

268136250309 has 24 divisors (see below), whose sum is σ = 388989661632. Its totient is φ = 177981598080.

The previous prime is 268136250299. The next prime is 268136250311. The reversal of 268136250309 is 903052631862.

268136250309 is a `hidden beast` number, since 2 + 6 + 8 + 13 + 625 + 0 + 3 + 0 + 9 = 666.

It is not a de Polignac number, because 268136250309 - 213 = 268136242117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268136250359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16743184 + ... + 16759190.

It is an arithmetic number, because the mean of its divisors is an integer number (16207902568).

Almost surely, 2268136250309 is an apocalyptic number.

It is an amenable number.

268136250309 is a deficient number, since it is larger than the sum of its proper divisors (120853411323).

268136250309 is a wasteful number, since it uses less digits than its factorization.

268136250309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23977 (or 23974 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 268136250309 in words is "two hundred sixty-eight billion, one hundred thirty-six million, two hundred fifty thousand, three hundred nine".

Divisors: 1 3 9 241 723 2169 7723 16007 23169 48021 69507 144063 1861243 3857687 5583729 11573061 16751187 34719183 123622061 370866183 1112598549 29792916701 89378750103 268136250309