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52023244232025 = 32521131678048149
BaseRepresentation
bin10111101010000100110101…
…11111100001010101011001
320211012101002100010110001100
423311002122333201111121
523304322101010411100
6302351052022542013
713646361326555403
oct1365023277412531
9224171070113040
1052023244232025
1115637a30142490
125a02553297909
132304a038196a1
14cbbd1d19db73
1560339d5e2400
hex2f509afe1559

52023244232025 has 72 divisors (see below), whose sum is σ = 104929307308800. Its totient is φ = 24409733328000.

The previous prime is 52023244231991. The next prime is 52023244232059.

52023244232025 is a `hidden beast` number, since 5 + 2 + 0 + 2 + 3 + 2 + 442 + 3 + 202 + 5 = 666.

52023244232025 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (52023244231991) and next prime (52023244232059).

It is not a de Polignac number, because 52023244232025 - 29 = 52023244231513 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 338947350 + ... + 339100799.

It is an arithmetic number, because the mean of its divisors is an integer number (1457351490400).

Almost surely, 252023244232025 is an apocalyptic number.

52023244232025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52023244232025 is an abundant number, since it is smaller than the sum of its proper divisors (52906063076775).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52023244232025 is a wasteful number, since it uses less digits than its factorization.

52023244232025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678048207 (or 678048199 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 5202324 and 4232025, that added together give a palindrome (9434349).

The spelling of 52023244232025 in words is "fifty-two trillion, twenty-three billion, two hundred forty-four million, two hundred thirty-two thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 31 33 45 55 75 93 99 155 165 225 275 279 341 465 495 775 825 1023 1395 1705 2325 2475 3069 5115 6975 8525 15345 25575 76725 678048149 2034144447 3390240745 6102433341 7458529639 10170722235 16951203725 21019492619 22375588917 30512166705 37292648195 50853611175 63058477857 67126766751 105097463095 111877944585 152560833525 186463240975 189175433571 231214418809 315292389285 335633833755 525487315475 559389722925 693643256427 945877167855 1156072094045 1576461946425 1678169168775 2080929769281 3468216282135 4729385839275 5780360470225 10404648846405 17341081410675 52023244232025