Search a number
-
+
74345642336 = 25719231794243
BaseRepresentation
bin100010100111101011…
…0000111100101100000
321002220021102221110202
41011033112013211200
52204224441023321
654053125044332
75241232350560
oct1051726074540
9232807387422
1074345642336
11295911a4519
12124aa2566a8
13701a857954
143853c20da0
151e01dad70b
hex114f587960

74345642336 has 192 divisors, whose sum is σ = 184807526400. Its totient is φ = 28704969216.

The previous prime is 74345642303. The next prime is 74345642341. The reversal of 74345642336 is 63324654347.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 17519831 + ... + 17524073.

It is an arithmetic number, because the mean of its divisors is an integer number (962539200).

Almost surely, 274345642336 is an apocalyptic number.

74345642336 is a gapful number since it is divisible by the number (76) 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 74345642336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92403763200).

74345642336 is an abundant number, since it is smaller than the sum of its proper divisors (110461884064).

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

74345642336 is a wasteful number, since it uses less digits than its factorization.

74345642336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4481 (or 4473 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 47.

The spelling of 74345642336 in words is "seventy-four billion, three hundred forty-five million, six hundred forty-two thousand, three hundred thirty-six".