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137792509257018 = 237112287713037207
BaseRepresentation
bin11111010101001001010001…
…100100010010010100111010
3200001212211112212221211112110
4133111021101210102110322
5121030043024332211033
61205021001015153150
741011115555414130
oct3725112144222472
9601784485854473
10137792509257018
113a9a5525261190
12135551406757b6
135bb6a15c90785
14260529b977750
1510de475635363
hex7d525191253a

137792509257018 has 64 divisors (see below), whose sum is σ = 343601561806848. Its totient is φ = 35788694934720.

The previous prime is 137792509257001. The next prime is 137792509257019. The reversal of 137792509257018 is 810752905297731.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a self number, because there is not a number n which added to its sum of digits gives 137792509257018.

It is not an unprimeable number, because it can be changed into a prime (137792509257019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4050571 + ... + 17087777.

It is an arithmetic number, because the mean of its divisors is an integer number (5368774403232).

Almost surely, 2137792509257018 is an apocalyptic number.

137792509257018 is an abundant number, since it is smaller than the sum of its proper divisors (205809052549830).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137792509257018 is a wasteful number, since it uses less digits than its factorization.

137792509257018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13060107.

The product of its (nonzero) digits is 66679200, while the sum is 66.

The spelling of 137792509257018 in words is "one hundred thirty-seven trillion, seven hundred ninety-two billion, five hundred nine million, two hundred fifty-seven thousand, eighteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 22877 45754 68631 137262 160139 251647 320278 480417 503294 754941 960834 1509882 1761529 3523058 5284587 10569174 13037207 26074414 39111621 78223242 91260449 143409277 182520898 273781347 286818554 430227831 547562694 860455662 1003864939 2007729878 3011594817 6023189634 298252184539 596504369078 894756553617 1789513107234 2087765291773 3280774029929 4175530583546 6263295875319 6561548059858 9842322089787 12526591750638 19684644179574 22965418209503 45930836419006 68896254628509 137792509257018