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52467466476425 = 52711213190600187
BaseRepresentation
bin10111110111000000010001…
…01100111001101110001001
320212202211200221122120222212
423323200020230321232021
523334111332404221200
6303331115451154505
714023435505415560
oct1373401054715611
9225684627576885
1052467466476425
1115799367002600
125a74668445a35
132337878ba3b40
14cd56205b6bd7
1560ebec4e8035
hex2fb808b39b89

52467466476425 has 72 divisors (see below), whose sum is σ = 88014592413888. Its totient is φ = 30191069462400.

The previous prime is 52467466476401. The next prime is 52467466476461.

52467466476425 is nontrivially palindromic in base 10.

52467466476425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-52467466476425 is a prime.

It is a super-3 number, since 3×524674664764253 (a number of 42 digits) contains 333 as substring.

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 71 ways as a sum of consecutive naturals, for example, 95024819 + ... + 95575368.

Almost surely, 252467466476425 is an apocalyptic number.

52467466476425 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52467466476425 is a deficient number, since it is larger than the sum of its proper divisors (35547125937463).

52467466476425 is a wasteful number, since it uses less digits than its factorization.

52467466476425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190600239 (or 190600223 counting only the distinct ones).

The product of its digits is 1625702400, while the sum is 68.

The spelling of 52467466476425 in words is "fifty-two trillion, four hundred sixty-seven billion, four hundred sixty-six million, four hundred seventy-six thousand, four hundred twenty-five".

Divisors: 1 5 7 11 13 25 35 55 65 77 91 121 143 175 275 325 385 455 605 715 847 1001 1573 1925 2275 3025 3575 4235 5005 7865 11011 21175 25025 39325 55055 275275 190600187 953000935 1334201309 2096602057 2477802431 4765004675 6671006545 10483010285 12389012155 14676214399 17344617017 23062622627 27255826741 33355032725 52415051425 61945060775 73381071995 86723085085 115313113135 136279133705 161438358389 190790787187 299814094151 366905359975 433615425425 576565565675 681395668525 807191791945 953953935935 1499070470755 2098698659057 4035958959725 4769769679675 7495352353775 10493493295285 52467466476425