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137615687041 = 7231375346199
BaseRepresentation
bin1000000000101010001…
…0001011110110000001
3111011012200012020020211
42000022202023312001
54223314103441131
6143115245434121
712641150016400
oct2001242136601
9434180166224
10137615687041
11533a9516568
122280726b941
13cc91909621
146936ad3637
1538a67485b1
hex200a88bd81

137615687041 has 48 divisors (see below), whose sum is σ = 172919577600. Its totient is φ = 108968146560.

The previous prime is 137615687017. The next prime is 137615687071. The reversal of 137615687041 is 140786516731.

It is not a de Polignac number, because 137615687041 - 219 = 137615162753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (137615687071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2955660 + ... + 3001858.

It is an arithmetic number, because the mean of its divisors is an integer number (3602491200).

Almost surely, 2137615687041 is an apocalyptic number.

It is an amenable number.

137615687041 is a deficient number, since it is larger than the sum of its proper divisors (35303890559).

137615687041 is a wasteful number, since it uses less digits than its factorization.

137615687041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46334 (or 46327 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

The spelling of 137615687041 in words is "one hundred thirty-seven billion, six hundred fifteen million, six hundred eighty-seven thousand, forty-one".

Divisors: 1 7 31 37 49 53 217 259 371 1147 1519 1643 1813 1961 2597 8029 11501 13727 46199 56203 60791 80507 96089 323393 425537 1432169 1709363 2263751 2448547 2978759 10025183 11965541 17139829 52990253 70176281 75904957 83758787 90596239 119978803 370931771 531334699 634173673 2596522397 2808483409 3719342893 4439215711 19659383863 137615687041