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136800076932 = 22336143914729
BaseRepresentation
bin111111101100111101…
…0111000010010000100
3111002002211110221112000
41333121322320102010
54220131304430212
6142502312225300
712612014316351
oct1773172702204
9432084427460
10136800076932
1153020093622
122261a09b230
13cb9194c4ac
14689a663628
153859d3b1dc
hex1fd9eb8484

136800076932 has 96 divisors (see below), whose sum is σ = 360639417600. Its totient is φ = 44832787200.

The previous prime is 136800076921. The next prime is 136800076939. The reversal of 136800076932 is 239670008631.

It is a super-2 number, since 2×1368000769322 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136800076939) 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, 28925544 + ... + 28930272.

It is an arithmetic number, because the mean of its divisors is an integer number (3756660600).

Almost surely, 2136800076932 is an apocalyptic number.

136800076932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136800076932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180319708800).

136800076932 is an abundant number, since it is smaller than the sum of its proper divisors (223839340668).

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

136800076932 is a wasteful number, since it uses less digits than its factorization.

136800076932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9194 (or 9186 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 136800076932 in words is "one hundred thirty-six billion, eight hundred million, seventy-six thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 732 1098 1647 2196 3294 4391 4729 6588 8782 9458 13173 14187 17564 18916 26346 28374 39519 42561 52692 56748 79038 85122 118557 127683 158076 170244 237114 255366 267851 288469 474228 510732 535702 576938 803553 865407 1071404 1153876 1607106 1730814 2410659 2596221 3214212 3461628 4821318 5192442 7231977 7788663 9642636 10384884 14463954 15577326 20765039 28927908 31154652 41530078 62295117 83060156 124590234 186885351 249180468 373770702 560656053 747541404 1121312106 1266667379 2242624212 2533334758 3800002137 5066669516 7600004274 11400006411 15200008548 22800012822 34200019233 45600025644 68400038466 136800076932