Search a number
-
+
74785585068 = 22343121811327
BaseRepresentation
bin100010110100110010…
…0010111011110101100
321011000221021100110000
41011221210113132230
52211130102210233
654204522344300
75255153661465
oct1055144273654
9234027240400
1074785585068
1129797570a57
12125b165b090
13708aa429ac
143896421d6c
151e2a811d13
hex11699177ac

74785585068 has 180 divisors, whose sum is σ = 203283496416. Its totient is φ = 23973019200.

The previous prime is 74785585001. The next prime is 74785585093. The reversal of 74785585068 is 86058558747.

74785585068 is a `hidden beast` number, since 7 + 4 + 78 + 5 + 58 + 506 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 74785584996 and 74785585014.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 56356221 + ... + 56357547.

Almost surely, 274785585068 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 74785585068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101641748208).

74785585068 is an abundant number, since it is smaller than the sum of its proper divisors (128497911348).

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

74785585068 is a wasteful number, since it uses less digits than its factorization.

74785585068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 75264000, while the sum is 63.

The spelling of 74785585068 in words is "seventy-four billion, seven hundred eighty-five million, five hundred eighty-five thousand, sixty-eight".