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264297781801 = 412125392
BaseRepresentation
bin1111011000100101100…
…0000001101000101001
3221021012100220102112101
43312021120001220221
513312240213004201
6321230002413401
725044355035544
oct3661130015051
9837170812471
10264297781801
11a20a7231349
1243280961261
131bc002a0001
14cb1368185b
156d1d16dd01
hex3d89601a29

264297781801 has 9 divisors (see below), whose sum is σ = 270922902103. Its totient is φ = 257830930480.

The previous prime is 264297781757. The next prime is 264297781829. The reversal of 264297781801 is 108187792462.

The square root of 264297781801 is 514099.

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., 12735348201 + 251562433600 = 112851^2 + 501560^2 .

It is not a de Polignac number, because 264297781801 - 27 = 264297781673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264297781301) 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, 21071790 + ... + 21084328.

Almost surely, 2264297781801 is an apocalyptic number.

264297781801 is the 514099-th square number.

264297781801 is the 257050-th centered octagonal number.

It is an amenable number.

264297781801 is a deficient number, since it is larger than the sum of its proper divisors (6625120302).

264297781801 is an frugal number, since it uses more digits than its factorization.

264297781801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25160 (or 12580 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 55.

The spelling of 264297781801 in words is "two hundred sixty-four billion, two hundred ninety-seven million, seven hundred eighty-one thousand, eight hundred one".

Divisors: 1 41 1681 12539 514099 21078059 157226521 6446287361 264297781801