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12142636413165 = 325834796787141
BaseRepresentation
bin1011000010110010110110…
…0001111011000011101101
31120222211021012122122111200
42300230231201323003231
53042421104410210130
641454130011240113
72362163564351406
oct260545541730355
946884235578450
1012142636413165
1139617327741a5
1214413a8449039
136a107953386b
142dd9c740a9ad
15160cd0316760
hexb0b2d87b0ed

12142636413165 has 48 divisors (see below), whose sum is σ = 21345290104320. Its totient is φ = 6384689746560.

The previous prime is 12142636413119. The next prime is 12142636413169. The reversal of 12142636413165 is 56131463624121.

12142636413165 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 2 + 636 + 4 + 1 + 3 + 1 + 6 + 5 = 666.

It is not a de Polignac number, because 12142636413165 - 28 = 12142636412909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12142636413165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12142636413169) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1604506 + ... + 5182635.

It is an arithmetic number, because the mean of its divisors is an integer number (444693543840).

Almost surely, 212142636413165 is an apocalyptic number.

12142636413165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12142636413165 is a deficient number, since it is larger than the sum of its proper divisors (9202653691155).

12142636413165 is a wasteful number, since it uses less digits than its factorization.

12142636413165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6787714 (or 6787711 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 12142636413165 in words is "twelve trillion, one hundred forty-two billion, six hundred thirty-six million, four hundred thirteen thousand, one hundred sixty-five".

Divisors: 1 3 5 9 15 45 83 249 415 479 747 1245 1437 2395 3735 4311 7185 21555 39757 119271 198785 357813 596355 1789065 6787141 20361423 33935705 61084269 101807115 305421345 563332703 1689998109 2816663515 3251040539 5069994327 8449990545 9753121617 16255202695 25349971635 29259364851 48765608085 146296824255 269836364737 809509094211 1349181823685 2428527282633 4047545471055 12142636413165