Search a number
-
+
36404048464 = 24729312107109
BaseRepresentation
bin100001111001110110…
…011011001001010000
310110222001122021100021
4201321312123021100
51044023414022324
624420201033224
72426061210040
oct417166331120
9113861567307
1036404048464
1114491155473
12707b785814
13358208c0a4
141a94b93720
15e30e74ae4
hex879d9b250

36404048464 has 240 divisors, whose sum is σ = 87768489600. Its totient is φ = 14309084160.

The previous prime is 36404048459. The next prime is 36404048521. The reversal of 36404048464 is 46484040463.

It is a self number, because there is not a number n which added to its sum of digits gives 36404048464.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 333982042 + ... + 333982150.

It is an arithmetic number, because the mean of its divisors is an integer number (365702040).

Almost surely, 236404048464 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 36404048464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43884244800).

36404048464 is an abundant number, since it is smaller than the sum of its proper divisors (51364441136).

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

36404048464 is a wasteful number, since it uses less digits than its factorization.

36404048464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 43.

The spelling of 36404048464 in words is "thirty-six billion, four hundred four million, forty-eight thousand, four hundred sixty-four".