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139180478761 = 193219332
BaseRepresentation
bin1000000110011111001…
…1011001000100101001
3111022020201121212221201
42001213303121010221
54240020200310021
6143534424404201
713025010356362
oct2014763310451
9438221555851
10139180478761
115403182a765
1222b83316661
1310180b6589c
146a44860b69
153948ce0591
hex2067cd9129

139180478761 has 9 divisors (see below), whose sum is σ = 139977772389. Its totient is φ = 138387707136.

The previous prime is 139180478741. The next prime is 139180478791. The reversal of 139180478761 is 167874081931.

The square root of 139180478761 is 373069.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1019588761 + 138160890000 = 31931^2 + 371700^2 .

It is not a de Polignac number, because 139180478761 - 25 = 139180478729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (139180478741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72001351 + ... + 72003283.

It is an arithmetic number, because the mean of its divisors is an integer number (15553085821).

Almost surely, 2139180478761 is an apocalyptic number.

139180478761 is the 373069-th square number.

139180478761 is the 186535-th centered octagonal number.

It is an amenable number.

139180478761 is a deficient number, since it is larger than the sum of its proper divisors (797293628).

139180478761 is an frugal number, since it uses more digits than its factorization.

139180478761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 55.

The spelling of 139180478761 in words is "one hundred thirty-nine billion, one hundred eighty million, four hundred seventy-eight thousand, seven hundred sixty-one".

Divisors: 1 193 1933 37249 373069 3736489 72002317 721142377 139180478761