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135096936336 = 24321755186657
BaseRepresentation
bin111110111010001100…
…1111010011110010000
3110220201010201102211200
41331310121322132100
54203134303430321
6142021312111200
712521554004025
oct1756431723620
9426633642750
10135096936336
115232677590a
1222223835500
13c97cb435ab
1467783a154c
1537aa566d26
hex1f7467a790

135096936336 has 60 divisors (see below), whose sum is σ = 400324017132. Its totient is φ = 42383351808.

The previous prime is 135096936257. The next prime is 135096936383. The reversal of 135096936336 is 633639690531.

135096936336 is a `hidden beast` number, since 13 + 509 + 6 + 93 + 6 + 3 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86344296336 + 48752640000 = 293844^2 + 220800^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27590881 + ... + 27595776.

Almost surely, 2135096936336 is an apocalyptic number.

135096936336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135096936336 is an abundant number, since it is smaller than the sum of its proper divisors (265227080796).

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

135096936336 is a wasteful number, since it uses less digits than its factorization.

135096936336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55186688 (or 55186679 counting only the distinct ones).

The product of its (nonzero) digits is 7085880, while the sum is 54.

The spelling of 135096936336 in words is "one hundred thirty-five billion, ninety-six million, nine hundred thirty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 55186657 110373314 165559971 220746628 331119942 441493256 496679913 662239884 882986512 938173169 993359826 1324479768 1876346338 1986719652 2648959536 2814519507 3752692676 3973439304 5629039014 7505385352 7946878608 8443558521 11258078028 15010770704 16887117042 22516156056 33774234084 45032312112 67548468168 135096936336