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36042786783864 = 2335747257219277
BaseRepresentation
bin10000011000111110111011…
…00000001100001001111000
311201121122201210010010200000
420030133131200030021320
514211011111404040424
6204353454435313000
710410001566513450
oct1014373540141170
9151548653103600
1036042786783864
1110536729562503
12406140044b760
131715a88002123
148c86a18cad60
154278502223c9
hex20c7dd80c278

36042786783864 has 384 divisors, whose sum is σ = 118614732687360. Its totient is φ = 10039570956288.

The previous prime is 36042786783841. The next prime is 36042786783877. The reversal of 36042786783864 is 46838768724063.

36042786783864 is a `hidden beast` number, since 3 + 6 + 0 + 427 + 8 + 67 + 83 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 36042786783792 and 36042786783801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164261394 + ... + 164480670.

It is an arithmetic number, because the mean of its divisors is an integer number (308892533040).

Almost surely, 236042786783864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36042786783864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59307366343680).

36042786783864 is an abundant number, since it is smaller than the sum of its proper divisors (82571945903496).

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

36042786783864 is a wasteful number, since it uses less digits than its factorization.

36042786783864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219609 (or 219593 counting only the distinct ones).

The product of its (nonzero) digits is 1560674304, while the sum is 72.

The spelling of 36042786783864 in words is "thirty-six trillion, forty-two billion, seven hundred eighty-six million, seven hundred eighty-three thousand, eight hundred sixty-four".