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5904000000000 = 213325941
BaseRepresentation
bin101010111101010000111…
…0100101010000000000000
3202220102020220121021002200
41111322201310222000000
51233212343000000000
620320132105513200
71146356423656224
oct125724164520000
922812226537080
105904000000000
1119769660a0583
127b42997a2800
1333a98b471a7b
14165a800c2784
15a389aec3500
hex55ea1d2a000

5904000000000 has 840 divisors, whose sum is σ = 21838664755908. Its totient is φ = 1536000000000.

The previous prime is 5903999999927. The next prime is 5904000000083. The reversal of 5904000000000 is 4095.

It can be written as a sum of positive squares in 10 ways, for example, as 2163582111744 + 3740417888256 = 1470912^2 + 1934016^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 5904000000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 143999999980 + ... + 144000000020.

Almost surely, 25904000000000 is an apocalyptic number.

5904000000000 is a gapful number since it is divisible by the number (50) 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 5904000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10919332377954).

5904000000000 is an abundant number, since it is smaller than the sum of its proper divisors (15934664755908).

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

5904000000000 is an frugal number, since it uses more digits than its factorization.

5904000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 5904000000000 its reverse (4095), we get a palindrome (5904000004095).

The spelling of 5904000000000 in words is "five trillion, nine hundred four billion", and thus it is an aban number.