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137648091085 = 5891414321871
BaseRepresentation
bin1000000000110001110…
…1110010111111001101
3111011021221011112020121
42000030131302333031
54223400402403320
6143122404144541
712642022320001
oct2001435627715
9434257145217
10137648091085
115341583916a
1222816098151
13cc9854390b
14693b12a701
1538a94e98aa
hex200c772fcd

137648091085 has 16 divisors (see below), whose sum is σ = 167053086720. Its totient is φ = 108868510080.

The previous prime is 137648091079. The next prime is 137648091127. The reversal of 137648091085 is 580190846731.

137648091085 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 137648091085 - 211 = 137648089037 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 6282700 + ... + 6304570.

It is an arithmetic number, because the mean of its divisors is an integer number (10440817920).

Almost surely, 2137648091085 is an apocalyptic number.

It is an amenable number.

137648091085 is a deficient number, since it is larger than the sum of its proper divisors (29404995635).

137648091085 is a wasteful number, since it uses less digits than its factorization.

137648091085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36108.

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 137648091085 in words is "one hundred thirty-seven billion, six hundred forty-eight million, ninety-one thousand, eighty-five".

Divisors: 1 5 89 445 14143 21871 70715 109355 1258727 1946519 6293635 9732595 309321553 1546607765 27529618217 137648091085