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52417233271425 = 352111715124751087
BaseRepresentation
bin10111110101100010101101…
…00100011011101010000001
320212121001001010000101020210
423322301112210123222001
523332300443204141200
6303252051115224333
714020006622261061
oct1372612644335201
9225531033011223
1052417233271425
111577a029738150
125a669894480a9
132332c01a220b9
14cd3016cdd3a1
1560d75c43a650
hex2fac5691ba81

52417233271425 has 96 divisors (see below), whose sum is σ = 100765837430784. Its totient is φ = 23761042560000.

The previous prime is 52417233271387. The next prime is 52417233271463.

52417233271425 is nontrivially palindromic in base 10.

52417233271425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52417233271387) and next prime (52417233271463).

It is not a de Polignac number, because 52417233271425 - 217 = 52417233140353 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10257769 + ... + 14493318.

It is an arithmetic number, because the mean of its divisors is an integer number (1049644139904).

Almost surely, 252417233271425 is an apocalyptic number.

52417233271425 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52417233271425 is a deficient number, since it is larger than the sum of its proper divisors (48348604159359).

52417233271425 is a wasteful number, since it uses less digits than its factorization.

52417233271425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24751279 (or 24751274 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 48.

The spelling of 52417233271425 in words is "fifty-two trillion, four hundred seventeen billion, two hundred thirty-three million, two hundred seventy-one thousand, four hundred twenty-five".

Divisors: 1 3 5 11 15 17 25 33 51 55 75 85 151 165 187 255 275 425 453 561 755 825 935 1275 1661 2265 2567 2805 3775 4675 4983 7701 8305 11325 12835 14025 24915 28237 38505 41525 64175 84711 124575 141185 192525 423555 705925 2117775 24751087 74253261 123755435 272261957 371266305 420768479 618777175 816785871 1262305437 1361309785 1856331525 2103842395 3737414137 4083929355 4628453269 6311527185 6806548925 10519211975 11212242411 13885359807 18687070685 20419646775 23142266345 31557635925 41111555507 56061212055 63536040329 69426799035 93435353425 115711331725 123334666521 190608120987 205557777535 280306060275 317680201645 347133995175 616673332605 698896443619 953040604935 1027788887675 1588401008225 2096689330857 3083366663025 3494482218095 4765203024675 10483446654285 17472411090475 52417233271425