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137495945005 = 5171818937013
BaseRepresentation
bin1000000000001101100…
…1011001111100101101
3111010220022212201001121
42000003121121330231
54223042430220010
6143055331140541
712635164151266
oct2000331317455
9433808781047
10137495945005
1153347970601
1222793144751
13cc72b72c53
146924c4396d
15389ae943da
hex2003659f2d

137495945005 has 16 divisors (see below), whose sum is σ = 175665947184. Its totient is φ = 102954378240.

The previous prime is 137495944991. The next prime is 137495945023. The reversal of 137495945005 is 500549594731.

It can be written as a sum of positive squares in 8 ways, for example, as 36764611081 + 100731333924 = 191741^2 + 317382^2 .

It is not a de Polignac number, because 137495945005 - 29 = 137495944493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4453122 + ... + 4483891.

It is an arithmetic number, because the mean of its divisors is an integer number (10979121699).

Almost surely, 2137495945005 is an apocalyptic number.

It is an amenable number.

137495945005 is a deficient number, since it is larger than the sum of its proper divisors (38170002179).

137495945005 is a wasteful number, since it uses less digits than its factorization.

137495945005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8937216.

The product of its (nonzero) digits is 3402000, while the sum is 52.

The spelling of 137495945005 in words is "one hundred thirty-seven billion, four hundred ninety-five million, nine hundred forty-five thousand, five".

Divisors: 1 5 17 85 181 905 3077 15385 8937013 44685065 151929221 759646105 1617599353 8087996765 27499189001 137495945005