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268882694521 = 72740772
BaseRepresentation
bin1111101001101010101…
…0000101000101111001
3221201000220020010101121
43322122222011011321
513401132432211041
6323304545145241
725266110123200
oct3723252050571
9851026203347
10268882694521
11a403a2a9111
124414032b221
131c48113700c
14d02a572237
156eda9317d1
hex3e9aa85179

268882694521 has 9 divisors (see below), whose sum is σ = 312786132399. Its totient is φ = 230467769784.

The previous prime is 268882694503. The next prime is 268882694527. The reversal of 268882694521 is 125496288862.

The square root of 268882694521 is 518539.

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

It can be written as a sum of positive squares in only one way, i.e., 61526322025 + 207356372496 = 248045^2 + 455364^2 .

It is not a de Polignac number, because 268882694521 - 225 = 268849140089 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 268882694521.

It is not an unprimeable number, because it can be changed into a prime (268882694527) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3592735 + ... + 3666811.

It is an arithmetic number, because the mean of its divisors is an integer number (34754014711).

Almost surely, 2268882694521 is an apocalyptic number.

268882694521 is the 518539-th square number.

268882694521 is the 259270-th centered octagonal number.

It is an amenable number.

268882694521 is a deficient number, since it is larger than the sum of its proper divisors (43903437878).

268882694521 is an frugal number, since it uses more digits than its factorization.

268882694521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148168 (or 74084 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 61.

The spelling of 268882694521 in words is "two hundred sixty-eight billion, eight hundred eighty-two million, six hundred ninety-four thousand, five hundred twenty-one".

Divisors: 1 7 49 74077 518539 3629773 5487401929 38411813503 268882694521