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52431613425 = 3252534396781
BaseRepresentation
bin110000110101001010…
…101110110111110001
312000100001022221011100
4300311022232313301
51324334443112200
640030423235013
73534206234502
oct606512566761
9160301287140
1052431613425
1120266308224
12a1b32a8a69
134c37776b39
14277565cba9
15156d0b2d00
hexc352aedf1

52431613425 has 36 divisors (see below), whose sum is σ = 95682769884. Its totient is φ = 27435907200.

The previous prime is 52431613417. The next prime is 52431613433.

52431613425 is a `hidden beast` number, since 5 + 2 + 4 + 31 + 613 + 4 + 2 + 5 = 666.

52431613425 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (52431613417) and next prime (52431613433).

It can be written as a sum of positive squares in 6 ways, for example, as 699020721 + 51732592704 = 26439^2 + 227448^2 .

It is not a de Polignac number, because 52431613425 - 23 = 52431613417 is a prime.

It is a super-4 number, since 4×524316134254 (a number of 44 digits) contains 4444 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 52431613425.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2186466 + ... + 2210315.

It is an arithmetic number, because the mean of its divisors is an integer number (2657854719).

Almost surely, 252431613425 is an apocalyptic number.

It is an amenable number.

52431613425 is a deficient number, since it is larger than the sum of its proper divisors (43251156459).

52431613425 is a wasteful number, since it uses less digits than its factorization.

52431613425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396850 (or 4396842 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

It can be divided in two parts, 52431 and 613425, that added together give a square (665856 = 8162).

The spelling of 52431613425 in words is "fifty-two billion, four hundred thirty-one million, six hundred thirteen thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 53 75 159 225 265 477 795 1325 2385 3975 11925 4396781 13190343 21983905 39571029 65951715 109919525 197855145 233029393 329758575 699088179 989275725 1165146965 2097264537 3495440895 5825734825 10486322685 17477204475 52431613425