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51132660136125 = 35373107106116453
BaseRepresentation
bin10111010000001010000000…
…00010110011100010111101
320201001020100000000211222220
423220011000002303202331
523200224141443324000
6300430004134555553
713525132661630331
oct1350050002634275
9221036300024886
1051132660136125
111532426a691817
125899a28508bb9
13226ba34a30189
14c8ab965337c1
155da127a481a0
hex2e81400b38bd

51132660136125 has 128 divisors (see below), whose sum is σ = 87143715869184. Its totient is φ = 26619072768000.

The previous prime is 51132660136121. The next prime is 51132660136133. The reversal of 51132660136125 is 52163106623115.

It is a happy number.

It is not a de Polignac number, because 51132660136125 - 22 = 51132660136121 is a prime.

It is a super-2 number, since 2×511326601361252 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51132660136121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3107793399 + ... + 3107809851.

It is an arithmetic number, because the mean of its divisors is an integer number (680810280228).

Almost surely, 251132660136125 is an apocalyptic number.

It is an amenable number.

51132660136125 is a deficient number, since it is larger than the sum of its proper divisors (36011055733059).

51132660136125 is a wasteful number, since it uses less digits than its factorization.

51132660136125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17712 (or 17702 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 51132660136125 in words is "fifty-one trillion, one hundred thirty-two billion, six hundred sixty million, one hundred thirty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 73 75 107 125 219 321 365 375 535 1061 1095 1605 1825 2675 3183 5305 5475 7811 8025 9125 13375 15915 16453 23433 26525 27375 39055 40125 49359 77453 79575 82265 113527 117165 132625 195275 232359 246795 340581 387265 397875 411325 567635 585825 976375 1161795 1201069 1233975 1702905 1760471 1936325 2056625 2838175 2929125 3603207 5281413 5808975 6005345 6169875 8287471 8514525 8802355 9681625 14190875 17456633 18016035 24862413 26407065 29044875 30026725 41437355 42572625 44011775 52369899 87283165 90080175 124312065 128514383 132035325 150133625 207186775 220058875 261849495 385543149 436415825 450400875 621560325 642571915 660176625 1035933875 1274334209 1309247475 1867859731 1927715745 2182079125 3107801625 3212859575 3823002627 5603579193 6371671045 6546237375 9339298655 9638578725 16064297875 19115013135 28017895965 31858355225 46696493275 48192893625 95575065675 136353760363 140089479825 159291776125 233482466375 409061281089 477875328375 681768801815 700447399125 2045306405445 3408844009075 10226532027225 17044220045375 51132660136125