Search a number
-
+
59428908000 = 25325371121949
BaseRepresentation
bin110111010110001111…
…010010101111100000
312200101200222022210200
4313112033102233200
51433202300024000
643145023425200
74202463245310
oct672617225740
9180350868720
1059428908000
1123227084200
12b626755200
1357b1343527
142c3aab3440
15182c545500
hexdd63d2be0

59428908000 has 864 divisors, whose sum is σ = 265084747200. Its totient is φ = 12342528000.

The previous prime is 59428907999. The next prime is 59428908031. The reversal of 59428908000 is 80982495.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30491026 + ... + 30492974.

It is an arithmetic number, because the mean of its divisors is an integer number (306811050).

Almost surely, 259428908000 is an apocalyptic number.

59428908000 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 59428908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132542373600).

59428908000 is an abundant number, since it is smaller than the sum of its proper divisors (205655839200).

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

59428908000 is a wasteful number, since it uses less digits than its factorization.

59428908000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 59428908000 in words is "fifty-nine billion, four hundred twenty-eight million, nine hundred eight thousand".