Search a number
-
+
59130300328 = 23112178734183
BaseRepresentation
bin110111000100011100…
…001100011110101000
312122121220002111002021
4313010130030132220
51432044324102303
643055235314224
74162206155101
oct670434143650
9178556074067
1059130300328
1123093570900
12b56274b974
1357645123b8
142c0d1833a8
15181120debd
hexdc470c7a8

59130300328 has 48 divisors (see below), whose sum is σ = 121936379040. Its totient is φ = 26861582880.

The previous prime is 59130300319. The next prime is 59130300391. The reversal of 59130300328 is 82300303195.

It is a junction number, because it is equal to n+sod(n) for n = 59130300293 and 59130300302.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1712725 + ... + 1746907.

It is an arithmetic number, because the mean of its divisors is an integer number (2540341230).

Almost surely, 259130300328 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 59130300328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60968189520).

59130300328 is an abundant number, since it is smaller than the sum of its proper divisors (62806078712).

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

59130300328 is a wasteful number, since it uses less digits than its factorization.

59130300328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35998 (or 35983 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The spelling of 59130300328 in words is "fifty-nine billion, one hundred thirty million, three hundred thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1787 3574 7148 14296 19657 34183 39314 68366 78628 136732 157256 216227 273464 376013 432454 752026 864908 1504052 1729816 3008104 4136143 8272286 16544572 33089144 61085021 122170042 244340084 488680168 671935231 1343870462 2687740924 5375481848 7391287541 14782575082 29565150164 59130300328