Search a number
-
+
5900889899520 = 293357311417
BaseRepresentation
bin101010111011110100001…
…1100100100001000000000
3202220010020011101210022000
41111313220130210020000
51233140010303241040
620314455325344000
71146216360363000
oct125675034441000
922803204353260
105900889899520
11197560a570000
127b3770108000
1333a5b401b525
1416586701a000
15a3767e32130
hex55de8724200

5900889899520 has 3200 divisors, whose sum is σ = 28469517120000. Its totient is φ = 1154031943680.

The previous prime is 5900889899417. The next prime is 5900889899521. The reversal of 5900889899520 is 259989880095.

5900889899520 is a `hidden beast` number, since 5 + 9 + 0 + 0 + 8 + 8 + 9 + 8 + 99 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5900889899521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 347111170552 + ... + 347111170568.

It is an arithmetic number, because the mean of its divisors is an integer number (8896724100).

Almost surely, 25900889899520 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 5900889899520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14234758560000).

5900889899520 is an abundant number, since it is smaller than the sum of its proper divisors (22568627220480).

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

5900889899520 is an frugal number, since it uses more digits than its factorization.

5900889899520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 72.

The spelling of 5900889899520 in words is "five trillion, nine hundred billion, eight hundred eighty-nine million, eight hundred ninety-nine thousand, five hundred twenty".