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61427523221415 = 355133889048637
BaseRepresentation
bin11011111011110001101011…
…01100110111011110100111
322001111102011201011211100000
431331320311230313132213
531022412031421041130
6334351225315152343
715636664201212501
oct1575706554673647
9261442151154300
1061427523221415
11186332a249aa7a
126a810952a56b3
13283778a68b7a0
141125172462d71
15717d0e19b260
hex37de35b377a7

61427523221415 has 48 divisors (see below), whose sum is σ = 118911551155488. Its totient is φ = 30241242193536.

The previous prime is 61427523221377. The next prime is 61427523221429. The reversal of 61427523221415 is 51412232572416.

61427523221415 is a `hidden beast` number, since 6 + 1 + 4 + 2 + 7 + 5 + 2 + 3 + 221 + 415 = 666.

It is not a de Polignac number, because 61427523221415 - 213 = 61427523213223 is a prime.

It is a super-2 number, since 2×614275232214152 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1944508524 + ... + 1944540113.

It is an arithmetic number, because the mean of its divisors is an integer number (2477323982406).

Almost surely, 261427523221415 is an apocalyptic number.

61427523221415 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

61427523221415 is a deficient number, since it is larger than the sum of its proper divisors (57484027934073).

61427523221415 is a wasteful number, since it uses less digits than its factorization.

61427523221415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889048670 (or 3889048658 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 61427523221415 in words is "sixty-one trillion, four hundred twenty-seven billion, five hundred twenty-three million, two hundred twenty-one thousand, four hundred fifteen".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 243 351 405 585 1053 1215 1755 3159 5265 15795 3889048637 11667145911 19445243185 35001437733 50557632281 58335729555 105004313199 151672896843 175007188665 252788161405 315012939597 455018690529 525021565995 758364484215 945038818791 1365056071587 1575064697985 2275093452645 4095168214761 4725194093955 6825280357935 12285504644283 20475841073805 61427523221415