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52637122173625 = 531128821394529
BaseRepresentation
bin10111111011111100010001…
…11110000001101010111001
320220101001121112202222110121
423331332020332001222321
523344401311234024000
6303541054325413241
714041622646145513
oct1375761076015271
9226331545688417
1052637122173625
1115854307246a00
125aa151586a221
13234a8756bac52
14cdd916626bb3
1561432b9d2b1a
hex2fdf88f81ab9

52637122173625 has 48 divisors (see below), whose sum is σ = 72214319857680. Its totient is φ = 38277106560000.

The previous prime is 52637122173553. The next prime is 52637122173637.

52637122173625 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 3825842112576 + 48811280061049 = 1955976^2 + 6986507^2 .

It is not a de Polignac number, because 52637122173625 - 29 = 52637122173113 is a prime.

It is a super-2 number, since 2×526371221736252 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133220361 + ... + 133614889.

It is an arithmetic number, because the mean of its divisors is an integer number (1504464997035).

Almost surely, 252637122173625 is an apocalyptic number.

52637122173625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52637122173625 is a deficient number, since it is larger than the sum of its proper divisors (19577197684055).

52637122173625 is a wasteful number, since it uses less digits than its factorization.

52637122173625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403387 (or 403366 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 52.

The spelling of 52637122173625 in words is "fifty-two trillion, six hundred thirty-seven billion, one hundred twenty-two million, one hundred seventy-three thousand, six hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 275 605 1375 3025 8821 15125 44105 97031 220525 394529 485155 1067341 1102625 1972645 2425775 4339819 5336705 9863225 12128875 21699095 26683525 47738009 49316125 108495475 133417625 238690045 542477375 1193450225 3480140309 5967251125 17400701545 38281543399 87003507725 191407716995 421096977389 435017538625 957038584975 2105484886945 4785192924875 10527424434725 52637122173625