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52824677642825 = 52112101172898053
BaseRepresentation
bin11000000001011001101000…
…01001010111001001001001
320221000222201121110222222212
430000230310021113021021
523410434414434032300
6304203153310154505
714061312520265564
oct1400546411271111
9227028647428885
1052824677642825
1115916902435a00
125b119397b2a35
13236246574211a
14d08a29a534db
15619157678935
hex300b34257249

52824677642825 has 36 divisors (see below), whose sum is σ = 72711585017484. Its totient is φ = 38037571440000.

The previous prime is 52824677642801. The next prime is 52824677642831.

52824677642825 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 4593430546441 + 48231247096384 = 2143229^2 + 6944872^2 .

It is not a de Polignac number, because 52824677642825 - 212 = 52824677638729 is a prime.

It is a Duffinian number.

It is a Curzon number.

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, 86143502 + ... + 86754551.

Almost surely, 252824677642825 is an apocalyptic number.

52824677642825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52824677642825 is a deficient number, since it is larger than the sum of its proper divisors (19886907374659).

52824677642825 is a wasteful number, since it uses less digits than its factorization.

52824677642825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172898186 (or 172898170 counting only the distinct ones).

The product of its digits is 722534400, while the sum is 68.

The spelling of 52824677642825 in words is "fifty-two trillion, eight hundred twenty-four billion, six hundred seventy-seven million, six hundred forty-two thousand, eight hundred twenty-five".

Divisors: 1 5 11 25 55 101 121 275 505 605 1111 2525 3025 5555 12221 27775 61105 305525 172898053 864490265 1901878583 4322451325 9509392915 17462703353 20920664413 47546964575 87313516765 104603322065 192089736883 436567583825 523016610325 960448684415 2112987105713 4802243422075 10564935528565 52824677642825