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268313153337 = 3229812572593
BaseRepresentation
bin1111100111100010110…
…1011100111100111001
3221122120012112102202200
43321320231130330321
513344001131401322
6323132242020413
725246023113235
oct3717055347471
9848505472680
10268313153337
11a3877864419
1244001647709
131c3c01441b8
14cdb4a775c5
156ea592d8ac
hex3e78b5cf39

268313153337 has 6 divisors (see below), whose sum is σ = 387563443722. Its totient is φ = 178875435552.

The previous prime is 268313153327. The next prime is 268313153357. The reversal of 268313153337 is 733351313862.

268313153337 is a `hidden beast` number, since 2 + 6 + 83 + 1 + 3 + 1 + 533 + 37 = 666.

It can be written as a sum of positive squares in only one way, i.e., 249029942841 + 19283210496 = 499029^2 + 138864^2 .

It is not a de Polignac number, because 268313153337 - 220 = 268312104761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 268313153292 and 268313153301.

It is not an unprimeable number, because it can be changed into a prime (268313153327) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14906286288 + ... + 14906286305.

It is an arithmetic number, because the mean of its divisors is an integer number (64593907287).

Almost surely, 2268313153337 is an apocalyptic number.

It is an amenable number.

268313153337 is a deficient number, since it is larger than the sum of its proper divisors (119250290385).

268313153337 is a wasteful number, since it uses less digits than its factorization.

268313153337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29812572599 (or 29812572596 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The spelling of 268313153337 in words is "two hundred sixty-eight billion, three hundred thirteen million, one hundred fifty-three thousand, three hundred thirty-seven".

Divisors: 1 3 9 29812572593 89437717779 268313153337