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74239060896 = 25347111323171
BaseRepresentation
bin100010100100011111…
…1100010101110100000
321002121211220001020000
41011020333202232200
52204020144422041
654034400420000
75235466414530
oct1051077425640
9232554801200
1074239060896
1129537018290
121247a617600
13700174b600
1438439d94c0
151de7858bb6
hex1148fe2ba0

74239060896 has 1440 divisors, whose sum is σ = 308553670656. Its totient is φ = 16982784000.

The previous prime is 74239060873. The next prime is 74239060937. The reversal of 74239060896 is 69806093247.

It is a happy number.

74239060896 is a `hidden beast` number, since 7 + 4 + 23 + 9 + 0 + 608 + 9 + 6 = 666.

It is a super-2 number, since 2×742390608962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1045620541 + ... + 1045620611.

Almost surely, 274239060896 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 74239060896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154276835328).

74239060896 is an abundant number, since it is smaller than the sum of its proper divisors (234314609760).

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

74239060896 is a wasteful number, since it uses less digits than its factorization.

74239060896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 74239060896 in words is "seventy-four billion, two hundred thirty-nine million, sixty thousand, eight hundred ninety-six".