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127177037053 = 1122933587201
BaseRepresentation
bin111011001110001010…
…1111001010011111101
3110011021012000212110121
41312130111321103331
54040424310141203
6134231353134541
712121364656453
oct1663425712375
9404235025417
10127177037053
1149a32138300
12207933ba451
13bcba097661
1462265c89d3
1534950e00bd
hex1d9c5794fd

127177037053 has 12 divisors (see below), whose sum is σ = 140266772604. Its totient is φ = 115220864000.

The previous prime is 127177037051. The next prime is 127177037069. The reversal of 127177037053 is 350730771721.

It can be written as a sum of positive squares in 2 ways, for example, as 111690976804 + 15486060249 = 334202^2 + 124443^2 .

It is not a de Polignac number, because 127177037053 - 21 = 127177037051 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127177037051) 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 11 ways as a sum of consecutive naturals, for example, 1758148 + ... + 1829053.

It is an arithmetic number, because the mean of its divisors is an integer number (11688897717).

Almost surely, 2127177037053 is an apocalyptic number.

It is an amenable number.

127177037053 is a deficient number, since it is larger than the sum of its proper divisors (13089735551).

127177037053 is a wasteful number, since it uses less digits than its factorization.

127177037053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587516 (or 3587505 counting only the distinct ones).

The product of its (nonzero) digits is 216090, while the sum is 43.

The spelling of 127177037053 in words is "one hundred twenty-seven billion, one hundred seventy-seven million, thirty-seven thousand, fifty-three".

Divisors: 1 11 121 293 3223 35453 3587201 39459211 434051321 1051049893 11561548823 127177037053