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74422923120 = 24345713612069
BaseRepresentation
bin100010101001111110…
…0111010111101110000
321010002122212012210000
41011103330322331300
52204404232014440
654104525310000
75243161260150
oct1052374727560
9233078765700
1074422923120
1129620888737
1212510105300
137030875420
1438601ba760
151e08a76730
hex1153f3af70

74422923120 has 800 divisors, whose sum is σ = 323503044480. Its totient is φ = 15437537280.

The previous prime is 74422923109. The next prime is 74422923121. The reversal of 74422923120 is 2132922447.

It is a happy number.

74422923120 is a `hidden beast` number, since 7 + 442 + 2 + 92 + 3 + 120 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74422923121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35969446 + ... + 35971514.

Almost surely, 274422923120 is an apocalyptic number.

74422923120 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 74422923120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161751522240).

74422923120 is an abundant number, since it is smaller than the sum of its proper divisors (249080121360).

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

74422923120 is a wasteful number, since it uses less digits than its factorization.

74422923120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 74422923120 in words is "seventy-four billion, four hundred twenty-two million, nine hundred twenty-three thousand, one hundred twenty".