Search a number
-
+
36493056192 = 2631929379323
BaseRepresentation
bin100001111111001001…
…111101100011000000
310111012021010022222210
4201333021331203000
51044214210244232
624433100502120
72431221600555
oct417711754300
9114167108883
1036493056192
111452741927a
1270a554a940
133597654498
141aa2922a2c
15e38ba75cc
hex87f27d8c0

36493056192 has 224 divisors, whose sum is σ = 107994297600. Its totient is φ = 10824855552.

The previous prime is 36493056169. The next prime is 36493056199. The reversal of 36493056192 is 29165039463.

36493056192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (36493056199) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3909643 + ... + 3918965.

It is an arithmetic number, because the mean of its divisors is an integer number (482117400).

Almost surely, 236493056192 is an apocalyptic number.

36493056192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36493056192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53997148800).

36493056192 is an abundant number, since it is smaller than the sum of its proper divisors (71501241408).

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

36493056192 is a wasteful number, since it uses less digits than its factorization.

36493056192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9423 (or 9413 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The spelling of 36493056192 in words is "thirty-six billion, four hundred ninety-three million, fifty-six thousand, one hundred ninety-two".