Search a number
-
+
36024385743829 = 753233416741503
BaseRepresentation
bin10000011000011100101001…
…01101110010101111010101
311201112220020101022110010201
420030032110231302233111
514210210420222300304
6204341212505220501
710405450601325430
oct1014162455625725
9151486211273121
1036024385743829
11105299466647aa
124059925a91731
131714114987a62
148c7837b08817
15427124a4c3a4
hex20c394b72bd5

36024385743829 has 16 divisors (see below), whose sum is σ = 42127565156352. Its totient is φ = 30165416880768.

The previous prime is 36024385743823. The next prime is 36024385743839. The reversal of 36024385743829 is 92834758342063.

It is a happy number.

36024385743829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 36024385743829 - 27 = 36024385743701 is a prime.

It is a super-2 number, since 2×360243857438292 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36024385743823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208284309 + ... + 208457194.

It is an arithmetic number, because the mean of its divisors is an integer number (2632972822272).

Almost surely, 236024385743829 is an apocalyptic number.

It is an amenable number.

36024385743829 is a deficient number, since it is larger than the sum of its proper divisors (6103179412523).

36024385743829 is a wasteful number, since it uses less digits than its factorization.

36024385743829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416741796.

The product of its (nonzero) digits is 209018880, while the sum is 64.

The spelling of 36024385743829 in words is "thirty-six trillion, twenty-four billion, three hundred eighty-five million, seven hundred forty-three thousand, eight hundred twenty-nine".

Divisors: 1 7 53 233 371 1631 12349 86443 416741503 2917190521 22087299659 97100770199 154611097613 679705391393 5146340820547 36024385743829