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138704849761 = 53270272
BaseRepresentation
bin1000000100101101110…
…1000000101101100001
3111021000120122102121211
42001023131000231201
54233031420143021
6143415314150121
713010143525042
oct2011335005541
9437016572554
10138704849761
11539082a9645
1222a6bb82341
13101064645ca
1469db6108c9
15391c18d3e1
hex204b740b61

138704849761 has 9 divisors (see below), whose sum is σ = 141391422291. Its totient is φ = 136068410712.

The previous prime is 138704849741. The next prime is 138704849779. The reversal of 138704849761 is 167948407831.

It is a happy number.

The square root of 138704849761 is 372431.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 99991926225 + 38712923536 = 316215^2 + 196756^2 .

It is a de Polignac number, because none of the positive numbers 2k-138704849761 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138704849696 and 138704849705.

It is not an unprimeable number, because it can be changed into a prime (138704849711) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19735330 + ... + 19742356.

Almost surely, 2138704849761 is an apocalyptic number.

138704849761 is the 372431-st square number.

138704849761 is the 186216-th centered octagonal number.

It is an amenable number.

138704849761 is a deficient number, since it is larger than the sum of its proper divisors (2686572530).

138704849761 is an frugal number, since it uses more digits than its factorization.

138704849761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14160 (or 7080 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 58.

The spelling of 138704849761 in words is "one hundred thirty-eight billion, seven hundred four million, eight hundred forty-nine thousand, seven hundred sixty-one".

Divisors: 1 53 2809 7027 372431 19738843 49378729 2617072637 138704849761