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74122332480 = 26325759101617
BaseRepresentation
bin100010100001000001…
…0010000100101000000
321002022201020121221100
41011002002100211000
52203300304114410
654015030454400
75232551300460
oct1050202204500
9232281217840
1074122332480
1129487140519
1212447504400
136cb34cb841
1438322d1ba0
151ddc49c8c0
hex1142090940

74122332480 has 672 divisors, whose sum is σ = 299728615680. Its totient is φ = 16463462400.

The previous prime is 74122332463. The next prime is 74122332521. The reversal of 74122332480 is 8423322147.

It is a happy number.

74122332480 is a `hidden beast` number, since 7 + 412 + 233 + 2 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 120133132 + ... + 120133748.

Almost surely, 274122332480 is an apocalyptic number.

74122332480 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 74122332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149864307840).

74122332480 is an abundant number, since it is smaller than the sum of its proper divisors (225606283200).

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

74122332480 is a wasteful number, since it uses less digits than its factorization.

74122332480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 74122332480 in words is "seventy-four billion, one hundred twenty-two million, three hundred thirty-two thousand, four hundred eighty".