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137048362815 = 35713467214993
BaseRepresentation
bin111111110100010111…
…0000000111100111111
3111002202010200011201110
41333220232000330333
54221133340102230
6142543102013103
712621120602040
oct1775056007477
9432663604643
10137048362815
1153138256471
1222689277193
13cc01211910
1468c16148c7
153871a324b0
hex1fe8b80f3f

137048362815 has 64 divisors (see below), whose sum is σ = 270459012096. Its totient is φ = 57707292672.

The previous prime is 137048362771. The next prime is 137048362819. The reversal of 137048362815 is 518263840731.

It is not a de Polignac number, because 137048362815 - 26 = 137048362751 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137048362819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 529959 + ... + 744951.

It is an arithmetic number, because the mean of its divisors is an integer number (4225922064).

Almost surely, 2137048362815 is an apocalyptic number.

137048362815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137048362815 is a deficient number, since it is larger than the sum of its proper divisors (133410649281).

137048362815 is a wasteful number, since it uses less digits than its factorization.

137048362815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215488.

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 137048362815 in words is "one hundred thirty-seven billion, forty-eight million, three hundred sixty-two thousand, eight hundred fifteen".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 467 1365 1401 2335 3269 6071 7005 9807 16345 18213 30355 42497 49035 91065 127491 212485 214993 637455 644979 1074965 1504951 2794909 3224895 4514853 7524755 8384727 13974545 19564363 22574265 41923635 58693089 97821815 100401731 293465445 301205193 502008655 702812117 1305222503 1506025965 2108436351 3514060585 3915667509 6526112515 9136557521 10542181755 19578337545 27409672563 45682787605 137048362815