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264406223061125 = 532972939647741
BaseRepresentation
bin111100000111100111011111…
…000000001000000010000101
31021200011222200022001220110222
4330013213133000020002011
5234124012421100424000
62334202313023554125
7106456501456441625
oct7407473700100205
91250158608056428
10264406223061125
117728005a953342
12257a384515b945
13b46c52760ca02
144941488134885
152087c2c9e0a85
hexf079df008085

264406223061125 has 16 divisors (see below), whose sum is σ = 341357551432560. Its totient is φ = 204231013672000.

The previous prime is 264406223061053. The next prime is 264406223061271. The reversal of 264406223061125 is 521160322604462.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 157817964003844 + 106588259057281 = 12562562^2 + 10324159^2 .

It is not a de Polignac number, because 264406223061125 - 214 = 264406223044741 is a prime.

It is a super-3 number, since 3×2644062230611253 (a number of 44 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36469820246 + ... + 36469827495.

It is an arithmetic number, because the mean of its divisors is an integer number (21334846964535).

Almost surely, 2264406223061125 is an apocalyptic number.

264406223061125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

264406223061125 is a deficient number, since it is larger than the sum of its proper divisors (76951328371435).

264406223061125 is an equidigital number, since it uses as much as digits as its factorization.

264406223061125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72939647785 (or 72939647775 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 44.

Adding to 264406223061125 its reverse (521160322604462), we get a palindrome (785566545665587).

The spelling of 264406223061125 in words is "two hundred sixty-four trillion, four hundred six billion, two hundred twenty-three million, sixty-one thousand, one hundred twenty-five".

Divisors: 1 5 25 29 125 145 725 3625 72939647741 364698238705 1823491193525 2115249784489 9117455967625 10576248922445 52881244612225 264406223061125