Search a number
-
+
5993073807120 = 2434517313747431
BaseRepresentation
bin101011100110101111100…
…0010010000111100010000
3210012221011121200111110000
41113031133002100330100
51241142303343311440
620425102522410000
71155661645563051
oct127153702207420
923187147614400
105993073807120
111a00714a1a204
128095b8360900
133461b542950a
1416a0cdda6728
15a5d60d9c730
hex5735f090f10

5993073807120 has 800 divisors, whose sum is σ = 23365540509696. Its totient is φ = 1416252211200.

The previous prime is 5993073807109. The next prime is 5993073807139. The reversal of 5993073807120 is 217083703995.

5993073807120 is a `hidden beast` number, since 59 + 93 + 0 + 7 + 380 + 7 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 126329805 + ... + 126377235.

Almost surely, 25993073807120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5993073807120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11682770254848).

5993073807120 is an abundant number, since it is smaller than the sum of its proper divisors (17372466702576).

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

5993073807120 is a wasteful number, since it uses less digits than its factorization.

5993073807120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47541 (or 47526 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 5993073807120 in words is "five trillion, nine hundred ninety-three billion, seventy-three million, eight hundred seven thousand, one hundred twenty".