Search a number
-
+
74986297344 = 211337193727
BaseRepresentation
bin100010111010110001…
…0000001100000000000
321011112220221120221000
41011311202001200000
52212032443003334
654240452332000
75263142003460
oct1056542014000
9234486846830
1074986297344
112988a8a0072
1212648914000
1370c04b925a
1438b4d4bba0
151e3d25c299
hex1175881800

74986297344 has 192 divisors, whose sum is σ = 253861171200. Its totient is φ = 21424545792.

The previous prime is 74986297307. The next prime is 74986297349. The reversal of 74986297344 is 44379268947.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74986297349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290209 + ... + 483935.

It is an arithmetic number, because the mean of its divisors is an integer number (1322193600).

Almost surely, 274986297344 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 74986297344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126930585600).

74986297344 is an abundant number, since it is smaller than the sum of its proper divisors (178874873856).

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

74986297344 is a wasteful number, since it uses less digits than its factorization.

74986297344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193765 (or 193739 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 74986297344 in words is "seventy-four billion, nine hundred eighty-six million, two hundred ninety-seven thousand, three hundred forty-four".