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127683247122 = 232842232
BaseRepresentation
bin111011011101010000…
…0111011110000010010
3110012120110120000010200
41312322200323300102
54042443402401442
6134353515040030
712140052456534
oct1667240736022
9405513500120
10127683247122
114a171956432
12208b4a40016
13c06ac15242
146273919854
1534c478334c
hex1dba83bc12

127683247122 has 18 divisors (see below), whose sum is σ = 276650320167. Its totient is φ = 42560577036.

The previous prime is 127683247093. The next prime is 127683247123. The reversal of 127683247122 is 221742386721.

127683247122 is a `hidden beast` number, since 12 + 76 + 83 + 2 + 471 + 22 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63841623561 + 63841623561 = 252669^2 + 252669^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=252669.

It is not an unprimeable number, because it can be changed into a prime (127683247123) 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 8 ways as a sum of consecutive naturals, for example, 1473903 + ... + 1558125.

Almost surely, 2127683247122 is an apocalyptic number.

127683247122 is an abundant number, since it is smaller than the sum of its proper divisors (148967073045).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127683247122 is an frugal number, since it uses more digits than its factorization.

127683247122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168454 (or 84228 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 127683247122 in words is "one hundred twenty-seven billion, six hundred eighty-three million, two hundred forty-seven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 84223 168446 252669 505338 758007 1516014 7093513729 14187027458 21280541187 42561082374 63841623561 127683247122