Search a number
-
+
20250733536000 = 28365311531489
BaseRepresentation
bin1001001101010111111011…
…10001110110001100000000
32122200221200102211212000000
410212223331301312030000
510123242000241123000
6111023020352000000
74160032024636362
oct446537561661400
978627612755000
1020250733536000
1164a8319166790
122330889830000
13b3b8363245a6
145001d8256d32
15251b7c299000
hex126afdc76300

20250733536000 has 2016 divisors, whose sum is σ = 84125359805760. Its totient is φ = 4813406208000.

The previous prime is 20250733535999. The next prime is 20250733536031. The reversal of 20250733536000 is 63533705202.

20250733536000 is a `hidden beast` number, since 2 + 0 + 2 + 50 + 73 + 3 + 536 + 0 + 0 + 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 polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 13600223256 + ... + 13600224744.

It is an arithmetic number, because the mean of its divisors is an integer number (41728849110).

Almost surely, 220250733536000 is an apocalyptic number.

20250733536000 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 20250733536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42062679902880).

20250733536000 is an abundant number, since it is smaller than the sum of its proper divisors (63874626269760).

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

20250733536000 is an equidigital number, since it uses as much as digits as its factorization.

20250733536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The spelling of 20250733536000 in words is "twenty trillion, two hundred fifty billion, seven hundred thirty-three million, five hundred thirty-six thousand".