Search a number
-
+
36053107231050 = 2325271322313721493
BaseRepresentation
bin10000011001010010001001…
…01001100100100101001010
311201122122101000212011200200
420030221010221210211022
514211143230422343200
6204402322510313030
710410515415045660
oct1014510451444512
9151578330764620
1036053107231050
11105400451471a8
1240634007b8776
131716a411c9200
148c8da0426c30
15427c562cc800
hex20ca44a6494a

36053107231050 has 864 divisors, whose sum is σ = 126001278044928. Its totient is φ = 7222632468480.

The previous prime is 36053107231007. The next prime is 36053107231147. The reversal of 36053107231050 is 5013270135063.

36053107231050 is a `hidden beast` number, since 3 + 6 + 0 + 531 + 0 + 72 + 3 + 1 + 0 + 50 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36053107230996 and 36053107231014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1677424104 + ... + 1677445596.

It is an arithmetic number, because the mean of its divisors is an integer number (145834812552).

Almost surely, 236053107231050 is an apocalyptic number.

36053107231050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36053107231050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63000639022464).

36053107231050 is an abundant number, since it is smaller than the sum of its proper divisors (89948170813878).

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

36053107231050 is a wasteful number, since it uses less digits than its factorization.

36053107231050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21704 (or 21683 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 36053107231050 in words is "thirty-six trillion, fifty-three billion, one hundred seven million, two hundred thirty-one thousand, fifty".