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264406223032461 = 321011392092632611
BaseRepresentation
bin111100000111100111011111…
…000000000001000010001101
31021200011222200022000110011100
4330013213133000001002031
5234124012421044014321
62334202313023213313
7106456501456262226
oct7407473700010215
91250158608013140
10264406223032461
117728005a933854
12257a3845147239
13b46c5275cc953
14494148812824d
152087c2c9d7326
hexf079df00108d

264406223032461 has 24 divisors (see below), whose sum is σ = 388476318091680. Its totient is φ = 173269980108000.

The previous prime is 264406223032439. The next prime is 264406223032559. The reversal of 264406223032461 is 164230322604462.

264406223032461 is a `hidden beast` number, since 2 + 6 + 4 + 40 + 6 + 223 + 0 + 324 + 61 = 666.

It is a de Polignac number, because none of the positive numbers 2k-264406223032461 is a prime.

It is a super-3 number, since 3×2644062230324613 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264406223012461) 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, 1046189955 + ... + 1046442656.

It is an arithmetic number, because the mean of its divisors is an integer number (16186513253820).

Almost surely, 2264406223032461 is an apocalyptic number.

It is an amenable number.

264406223032461 is a deficient number, since it is larger than the sum of its proper divisors (124070095059219).

264406223032461 is a wasteful number, since it uses less digits than its factorization.

264406223032461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092632857 (or 2092632854 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 264406223032461 in words is "two hundred sixty-four trillion, four hundred six billion, two hundred twenty-three million, thirty-two thousand, four hundred sixty-one".

Divisors: 1 3 9 101 139 303 417 909 1251 14039 42117 126351 2092632611 6277897833 18833693499 211355893711 290875932929 634067681133 872627798787 1902203043399 2617883396361 29378469225829 88135407677487 264406223032461