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268254592489 = 132398412
BaseRepresentation
bin1111100111010100111…
…0000011110111101001
3221122102010100020101101
43321311032003313221
513343341133424424
6323122350521401
725244412262012
oct3716516036751
9848363306341
10268254592489
11a38477a6824
1243ba5b06261
131c3b0c7c300
14cdaad92009
156ea0712344
hex3e75383de9

268254592489 has 9 divisors (see below), whose sum is σ = 290484157509. Its totient is φ = 247613408640.

The previous prime is 268254592433. The next prime is 268254592517. The reversal of 268254592489 is 984295452862.

The square root of 268254592489 is 517933.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 87707784025 + 180546808464 = 296155^2 + 424908^2 .

It is not a de Polignac number, because 268254592489 - 221 = 268252495337 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 268254592489.

It is not an unprimeable number, because it can be changed into a prime (268254592189) 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 8 ways as a sum of consecutive naturals, for example, 6713209 + ... + 6753049.

It is an arithmetic number, because the mean of its divisors is an integer number (32276017501).

Almost surely, 2268254592489 is an apocalyptic number.

268254592489 is the 517933-rd square number.

268254592489 is the 258967-th centered octagonal number.

It is an amenable number.

268254592489 is a deficient number, since it is larger than the sum of its proper divisors (22229565020).

268254592489 is an frugal number, since it uses more digits than its factorization.

268254592489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79708 (or 39854 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 64.

Multiplying 268254592489 by its sum of digits (64), we get a square (17168293919296 = 41434642).

The spelling of 268254592489 in words is "two hundred sixty-eight billion, two hundred fifty-four million, five hundred ninety-two thousand, four hundred eighty-nine".

Divisors: 1 13 169 39841 517933 6733129 1587305281 20634968653 268254592489