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268825977757 = 14912073149441
BaseRepresentation
bin1111101001011101000…
…1101110001110011101
3221200212221111121121201
43322113101232032131
513401023422242012
6323255201355501
725264521052201
oct3722721561635
9850787447551
10268825977757
11a401028aa57
1244125338b91
131c4724695bc
14d022c0ab01
156ed597b857
hex3e9746e39d

268825977757 has 8 divisors (see below), whose sum is σ = 270654406200. Its totient is φ = 266997872640.

The previous prime is 268825977737. The next prime is 268825977773. The reversal of 268825977757 is 757779528862.

It can be written as a sum of positive squares in 4 ways, for example, as 992817081 + 267833160676 = 31509^2 + 517526^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-268825977757 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 268825977757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268825977737) 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 7 ways as a sum of consecutive naturals, for example, 1724157 + ... + 1873597.

It is an arithmetic number, because the mean of its divisors is an integer number (33831800775).

Almost surely, 2268825977757 is an apocalyptic number.

It is an amenable number.

268825977757 is a deficient number, since it is larger than the sum of its proper divisors (1828428443).

268825977757 is a wasteful number, since it uses less digits than its factorization.

268825977757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161663.

The product of its digits is 829785600, while the sum is 73.

The spelling of 268825977757 in words is "two hundred sixty-eight billion, eight hundred twenty-five million, nine hundred seventy-seven thousand, seven hundred fifty-seven".

Divisors: 1 149 12073 149441 1798877 22266709 1804201193 268825977757