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138272974821 = 32413413109793
BaseRepresentation
bin1000000011000110110…
…1100010011111100101
3111012220110222220120200
42000301231202133211
54231140340143241
6143304405421113
712663350615322
oct2006155423745
9435813886520
10138272974821
1153706542603
122296b40a799
1310067b427c7
14699a10db49
1538e42d04b6
hex2031b627e5

138272974821 has 24 divisors (see below), whose sum is σ = 204660846936. Its totient is φ = 89906472960.

The previous prime is 138272974813. The next prime is 138272974823. The reversal of 138272974821 is 128479272831.

138272974821 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 72 + 97 + 482 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48470865921 + 89802108900 = 220161^2 + 299670^2 .

It is not a de Polignac number, because 138272974821 - 23 = 138272974813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138272974823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1204501 + ... + 1314293.

It is an arithmetic number, because the mean of its divisors is an integer number (8527535289).

Almost surely, 2138272974821 is an apocalyptic number.

It is an amenable number.

138272974821 is a deficient number, since it is larger than the sum of its proper divisors (66387872115).

138272974821 is a wasteful number, since it uses less digits than its factorization.

138272974821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113253 (or 113250 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 138272974821 in words is "one hundred thirty-eight billion, two hundred seventy-two million, nine hundred seventy-four thousand, eight hundred twenty-one".

Divisors: 1 3 9 41 123 369 3413 10239 30717 109793 139933 329379 419799 988137 1259397 4501513 13504539 40513617 374723509 1124170527 3372511581 15363663869 46090991607 138272974821