Search a number
-
+
74194179840 = 283251121731101
BaseRepresentation
bin100010100011001010…
…0010101011100000000
321002111201102211222200
41011012110111130000
52203422202223330
654030114433200
75234413060134
oct1050624253400
9232451384880
1074194179840
1129513753500
1212467592800
136cc5366181
14383ba753c4
151de3940a60
hex1146515700

74194179840 has 1296 divisors, whose sum is σ = 311451049728. Its totient is φ = 16220160000.

The previous prime is 74194179821. The next prime is 74194179847. The reversal of 74194179840 is 4897149147.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74194179847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 734595790 + ... + 734595890.

It is an arithmetic number, because the mean of its divisors is an integer number (240317168).

Almost surely, 274194179840 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 74194179840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155725524864).

74194179840 is an abundant number, since it is smaller than the sum of its proper divisors (237256869888).

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

74194179840 is a wasteful number, since it uses less digits than its factorization.

74194179840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 74194179840 in words is "seventy-four billion, one hundred ninety-four million, one hundred seventy-nine thousand, eight hundred forty".