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264498570113 = 2326111537109
BaseRepresentation
bin1111011001010101010…
…1111110001110000001
3221021201100201112022112
43312111111332032001
513313143113220423
6321301534145105
725052343515321
oct3662525761601
9837640645275
10264498570113
11a219a6025a8
1243318052195
131bc32a7206b
14cb321cb281
156d30ad1a78
hex3d9557e381

264498570113 has 24 divisors (see below), whose sum is σ = 281314572840. Its totient is φ = 248600309760.

The previous prime is 264498570053. The next prime is 264498570173. The reversal of 264498570113 is 311075894462.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (264498570053) and next prime (264498570173).

It can be written as a sum of positive squares in 4 ways, for example, as 582112129 + 263916457984 = 24127^2 + 513728^2 .

It is not a de Polignac number, because 264498570113 - 226 = 264431461249 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (264498570173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37202603 + ... + 37209711.

It is an arithmetic number, because the mean of its divisors is an integer number (11721440535).

It is a 1-persistent number, because it is pandigital, but 2⋅264498570113 = 528997140226 is not.

Almost surely, 2264498570113 is an apocalyptic number.

264498570113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

264498570113 is a deficient number, since it is larger than the sum of its proper divisors (16816002727).

264498570113 is a wasteful number, since it uses less digits than its factorization.

264498570113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8369 (or 8346 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 264498570113 in words is "two hundred sixty-four billion, four hundred ninety-eight million, five hundred seventy thousand, one hundred thirteen".

Divisors: 1 23 61 529 1153 1403 7109 26519 32269 70333 163507 433649 609937 1617659 3760661 8196677 9973927 37206157 188523571 229400321 499997297 4336042133 11499937831 264498570113