Search a number
-
+
20361369600 = 21133521113103
BaseRepresentation
bin10010111101101000…
…011101100000000000
31221120000111202011000
4102331220131200000
5313200002311400
613204234452000
71320400533405
oct227550354000
957500452130
1020361369600
1186a950a390
123b42b94000
131bc6511bc0
14db22b22ac
157e284d600
hex4bda1d800

20361369600 has 1152 divisors, whose sum is σ = 88719321600. Its totient is φ = 4512153600.

The previous prime is 20361369599. The next prime is 20361369601. The reversal of 20361369600 is 696316302.

20361369600 is a `hidden beast` number, since 2 + 0 + 36 + 13 + 6 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (20361369599) and next prime (20361369601).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20361369601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197683149 + ... + 197683251.

It is an arithmetic number, because the mean of its divisors is an integer number (77013300).

Almost surely, 220361369600 is an apocalyptic number.

20361369600 is a gapful number since it is divisible by the number (20) 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 20361369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44359660800).

20361369600 is an abundant number, since it is smaller than the sum of its proper divisors (68357952000).

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

20361369600 is a wasteful number, since it uses less digits than its factorization.

20361369600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 20361369600 in words is "twenty billion, three hundred sixty-one million, three hundred sixty-nine thousand, six hundred".