Search a number
-
+
74147712720 = 243517229191193
BaseRepresentation
bin100010100001110001…
…1000100111011010000
321002101111000002002020
41011003203010323100
52203323303301340
654021334451440
75233310105364
oct1050343047320
9232344002066
1074147712720
112949a4a6024
1212453b03b80
136cb8846b33
14383581b2a4
151dde8129d0
hex11438c4ed0

74147712720 has 480 divisors, whose sum is σ = 255232235520. Its totient is φ = 17781227520.

The previous prime is 74147712713. The next prime is 74147712739. The reversal of 74147712720 is 2721774147.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 384184944 + ... + 384185136.

It is an arithmetic number, because the mean of its divisors is an integer number (531733824).

Almost surely, 274147712720 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 74147712720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127616117760).

74147712720 is an abundant number, since it is smaller than the sum of its proper divisors (181084522800).

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

74147712720 is a wasteful number, since it uses less digits than its factorization.

74147712720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 153664, while the sum is 42.

The spelling of 74147712720 in words is "seventy-four billion, one hundred forty-seven million, seven hundred twelve thousand, seven hundred twenty".