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74421189360 = 243257411392591
BaseRepresentation
bin100010101001111011…
…0010011101011110000
321010002112121010111200
41011103312103223300
52204403311024420
654104424211200
75243140446360
oct1052366235360
9233075533450
1074421189360
112961a904081
121250b609b00
1370303b922b
14385dc889a0
151e08832b90
hex1153d93af0

74421189360 has 480 divisors, whose sum is σ = 294821130240. Its totient is φ = 16469913600.

The previous prime is 74421189341. The next prime is 74421189377. The reversal of 74421189360 is 6398112447.

74421189360 is a `hidden beast` number, since 7 + 442 + 118 + 93 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 28721665 + ... + 28724255.

It is an arithmetic number, because the mean of its divisors is an integer number (614210688).

Almost surely, 274421189360 is an apocalyptic number.

74421189360 is a gapful number since it is divisible by the number (70) 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 74421189360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147410565120).

74421189360 is an abundant number, since it is smaller than the sum of its proper divisors (220399940880).

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

74421189360 is a wasteful number, since it uses less digits than its factorization.

74421189360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 74421189360 in words is "seventy-four billion, four hundred twenty-one million, one hundred eighty-nine thousand, three hundred sixty".