Search a number
-
+
36156364020 = 22325733131871
BaseRepresentation
bin100001101011000101…
…100101010011110100
310110022210120121011100
4201223011211103310
51043022012122040
624335432210100
72416663011000
oct415305452364
9113283517140
1036156364020
1114374363487
127010839930
13354297a64a
141a6dd1b700
15e1934bb30
hex86b1654f4

36156364020 has 288 divisors, whose sum is σ = 128377267200. Its totient is φ = 8233505280.

The previous prime is 36156364003. The next prime is 36156364063. The reversal of 36156364020 is 2046365163.

36156364020 is a `hidden beast` number, since 3 + 6 + 1 + 5 + 6 + 3 + 640 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 19323685 + ... + 19325555.

It is an arithmetic number, because the mean of its divisors is an integer number (445754400).

Almost surely, 236156364020 is an apocalyptic number.

36156364020 is a gapful number since it is divisible by the number (30) 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 36156364020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64188633600).

36156364020 is an abundant number, since it is smaller than the sum of its proper divisors (92220903180).

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

36156364020 is a wasteful number, since it uses less digits than its factorization.

36156364020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 36156364020 in words is "thirty-six billion, one hundred fifty-six million, three hundred sixty-four thousand, twenty".