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138958403557 = 3131114839719
BaseRepresentation
bin1000000101101010010…
…0001111011111100101
3111021200020202022001011
42001122210033133211
54234041322403212
6143500412502221
713016342640661
oct2013244173745
9437606668034
10138958403557
1153a2843a336
1222b20a7a971
1310146b4c73c
146a231738a1
1539345754a7
hex205a90f7e5

138958403557 has 16 divisors (see below), whose sum is σ = 144014008320. Its totient is φ = 133939306800.

The previous prime is 138958403543. The next prime is 138958403599. The reversal of 138958403557 is 755304859831.

It is a happy number.

138958403557 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-138958403557 is a prime.

It is a super-2 number, since 2×1389584035572 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138958403057) 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 15 ways as a sum of consecutive naturals, for example, 14292744 + ... + 14302462.

It is an arithmetic number, because the mean of its divisors is an integer number (9000875520).

Almost surely, 2138958403557 is an apocalyptic number.

It is an amenable number.

138958403557 is a deficient number, since it is larger than the sum of its proper divisors (5055604763).

138958403557 is a wasteful number, since it uses less digits than its factorization.

138958403557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11544.

The product of its (nonzero) digits is 18144000, while the sum is 58.

The spelling of 138958403557 in words is "one hundred thirty-eight billion, nine hundred fifty-eight million, four hundred three thousand, five hundred fifty-seven".

Divisors: 1 31 311 1483 9641 9719 45973 301289 461213 3022609 14297603 14413277 93700879 446811587 4482529147 138958403557