Search a number
-
+
36065690532432 = 24341112754136821
BaseRepresentation
bin10000011001101001100101…
…01011000011101001010000
311201200211211222120010010000
420030310302223003221100
514211400013234014212
6204412203254210000
710411442301252561
oct1014646253035120
9151624758503100
1036065690532432
1110545412090830
124065932953900
131717c98160a82
148c98356c2168
15428240d6d1dc
hex20cd32ac3a50

36065690532432 has 400 divisors, whose sum is σ = 114985992996864. Its totient is φ = 10822605696000.

The previous prime is 36065690532401. The next prime is 36065690532439. The reversal of 36065690532432 is 23423509656063.

36065690532432 is a `hidden beast` number, since 3 + 6 + 0 + 6 + 5 + 69 + 0 + 532 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36065690532439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 979468582 + ... + 979505402.

Almost surely, 236065690532432 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 36065690532432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57492996498432).

36065690532432 is an abundant number, since it is smaller than the sum of its proper divisors (78920302464432).

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

36065690532432 is a wasteful number, since it uses less digits than its factorization.

36065690532432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37520 (or 37505 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 54.

The spelling of 36065690532432 in words is "thirty-six trillion, sixty-five billion, six hundred ninety million, five hundred thirty-two thousand, four hundred thirty-two".