Search a number
-
+
75059050080 = 253571719233197
BaseRepresentation
bin100010111100111011…
…1100011011001100000
321011201222211210220210
41011321313203121200
52212210104100310
654252011534120
75265014253540
oct1057167433140
9234658753823
1075059050080
11299179712a3
121266915a340
1371025aca01
1438c0889320
151e4482d820
hex1179de3660

75059050080 has 1536 divisors, whose sum is σ = 327741603840. Its totient is φ = 14014218240.

The previous prime is 75059050069. The next prime is 75059050081. The reversal of 75059050080 is 8005095057.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75059050081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 773804592 + ... + 773804688.

It is an arithmetic number, because the mean of its divisors is an integer number (213373440).

Almost surely, 275059050080 is an apocalyptic number.

75059050080 is a gapful number since it is divisible by the number (70) 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 75059050080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163870801920).

75059050080 is an abundant number, since it is smaller than the sum of its proper divisors (252682553760).

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

75059050080 is a wasteful number, since it uses less digits than its factorization.

75059050080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 39.

The spelling of 75059050080 in words is "seventy-five billion, fifty-nine million, fifty thousand, eighty".