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138975310719 = 327359763043
BaseRepresentation
bin1000000101101110010…
…0101111001101111111
3111021201102120021022100
42001123210233031333
54234110134420334
6143502215120143
713016636436000
oct2013344571577
9437642507270
10138975310719
1153a36a379a3
1222b26673053
131014a4bc18b
146a254d51a7
153935cb4c99
hex205b92f37f

138975310719 has 48 divisors (see below), whose sum is σ = 238069728000. Its totient is φ = 78068353104.

The previous prime is 138975310717. The next prime is 138975310757. The reversal of 138975310719 is 917013579831.

138975310719 is a `hidden beast` number, since 1 + 3 + 8 + 97 + 531 + 0 + 7 + 19 = 666.

It is not a de Polignac number, because 138975310719 - 21 = 138975310717 is a prime.

It is a super-2 number, since 2×1389753107192 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138975310717) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199389 + ... + 563654.

It is an arithmetic number, because the mean of its divisors is an integer number (4959786000).

Almost surely, 2138975310719 is an apocalyptic number.

138975310719 is a deficient number, since it is larger than the sum of its proper divisors (99094417281).

138975310719 is an equidigital number, since it uses as much as digits as its factorization.

138975310719 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763129 (or 763112 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 138975310719 in words is "one hundred thirty-eight billion, nine hundred seventy-five million, three hundred ten thousand, seven hundred nineteen".

Divisors: 1 3 7 9 21 49 59 63 147 177 343 413 441 531 1029 1239 2891 3087 3717 8673 20237 26019 60711 182133 763043 2289129 5341301 6867387 16023903 37389107 45019537 48071709 112167321 135058611 261723749 315136759 336501963 405175833 785171247 945410277 2205957313 2355513741 2836230831 6617871939 15441701191 19853615817 46325103573 138975310719