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138264672015 = 3253072548267
BaseRepresentation
bin1000000011000100110…
…1110111011100001111
3111012212220101002021100
42000301031313130033
54231131224001030
6143303511434143
712663220215021
oct2006115673417
9435786332240
10138264672015
1153701891588
1222968685953
13100661c65c2
146998d8c011
1538e36e0360
hex203137770f

138264672015 has 12 divisors (see below), whose sum is σ = 239658764904. Its totient is φ = 73741158384.

The previous prime is 138264672011. The next prime is 138264672023. The reversal of 138264672015 is 510276462831.

138264672015 is a `hidden beast` number, since 1 + 382 + 6 + 4 + 67 + 201 + 5 = 666.

138264672015 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 138264672015 - 22 = 138264672011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 3072548267 = 138264672015 / (1 + 3 + 8 + 2 + 6 + 4 + 6 + 7 + 2 + 0 + 1 + 5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138264672011) 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 11 ways as a sum of consecutive naturals, for example, 1536274089 + ... + 1536274178.

It is an arithmetic number, because the mean of its divisors is an integer number (19971563742).

Almost surely, 2138264672015 is an apocalyptic number.

138264672015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138264672015 is a deficient number, since it is larger than the sum of its proper divisors (101394092889).

138264672015 is a wasteful number, since it uses less digits than its factorization.

138264672015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072548278 (or 3072548275 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 138264672015 in words is "one hundred thirty-eight billion, two hundred sixty-four million, six hundred seventy-two thousand, fifteen".

Divisors: 1 3 5 9 15 45 3072548267 9217644801 15362741335 27652934403 46088224005 138264672015