Search a number
-
+
20018007590400 = 293252893535531
BaseRepresentation
bin1001000110100110011100…
…01110110100011000000000
32121212200222100220212202100
410203103032032310120000
510110433334420343100
6110324051251150400
74134152614016301
oct443231616643000
977780870825670
1020018007590400
116418653464256
1222b375a2a5400
13b228c7c71181
144d2c3baa27a8
1524aaaac3d400
hex1234ce3b4600

20018007590400 has 720 divisors, whose sum is σ = 72662213360880. Its totient is φ = 5262252441600.

The previous prime is 20018007590393. The next prime is 20018007590407. The reversal of 20018007590400 is 409570081002.

20018007590400 is a `hidden beast` number, since 2 + 0 + 0 + 180 + 0 + 75 + 9 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (20018007590393) and next prime (20018007590407).

It is a tau number, because it is divible by the number of its divisors (720).

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 (20018007590407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3619235635 + ... + 3619241165.

It is an arithmetic number, because the mean of its divisors is an integer number (100919740779).

Almost surely, 220018007590400 is an apocalyptic number.

20018007590400 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 20018007590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36331106680440).

20018007590400 is an abundant number, since it is smaller than the sum of its proper divisors (52644205770480).

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

20018007590400 is a wasteful number, since it uses less digits than its factorization.

20018007590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6007 (or 5983 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 20018007590400 in words is "twenty trillion, eighteen billion, seven million, five hundred ninety thousand, four hundred".