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138213658479 = 31359210092
BaseRepresentation
bin1000000010111000101…
…1010000111101101111
3111012202100101022212010
42000232023100331233
54231030144032404
6143254450212303
712662030466351
oct2005613207557
9435670338763
10138213658479
1153686009336
1222953584093
1310058774a90
1469922ad0d1
1538ddeb5189
hex202e2d0f6f

138213658479 has 36 divisors (see below), whose sum is σ = 202081668936. Its totient is φ = 83530089216.

The previous prime is 138213658459. The next prime is 138213658487. The reversal of 138213658479 is 974856312831.

138213658479 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138213658479 - 216 = 138213592943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138213658459) 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 35 ways as a sum of consecutive naturals, for example, 136980327 + ... + 136981335.

Almost surely, 2138213658479 is an apocalyptic number.

138213658479 is a deficient number, since it is larger than the sum of its proper divisors (63868010457).

138213658479 is an frugal number, since it uses more digits than its factorization.

138213658479 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 1084 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 57.

The spelling of 138213658479 in words is "one hundred thirty-eight billion, two hundred thirteen million, six hundred fifty-eight thousand, four hundred seventy-nine".

Divisors: 1 3 13 39 59 177 767 1009 2301 3027 3481 10443 13117 39351 45253 59531 135759 178593 773903 1018081 2321709 3054243 3512329 10536987 13235053 39705159 45660277 60066779 136980831 180200337 780868127 2342604381 3543939961 10631819883 46071219493 138213658479