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74008943136 = 25369533329
BaseRepresentation
bin100010011101101000…
…1101101101000100000
321002000210212212000000
41010323101231220200
52203032242140021
653555500300000
75230003431342
oct1047321555040
9232023785000
1074008943136
1129429134417
1212415541600
136c95b7a85b
143821217292
151dd2550b26
hex113b46da20

74008943136 has 168 divisors, whose sum is σ = 218752648380. Its totient is φ = 24636358656.

The previous prime is 74008943119. The next prime is 74008943149. The reversal of 74008943136 is 63134980047.

It can be written as a sum of positive squares in 2 ways, for example, as 73308811536 + 700131600 = 270756^2 + 26460^2 .

It is a junction number, because it is equal to n+sod(n) for n = 74008943091 and 74008943100.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 22229920 + ... + 22233248.

Almost surely, 274008943136 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 74008943136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109376324190).

74008943136 is an abundant number, since it is smaller than the sum of its proper divisors (144743705244).

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

74008943136 is an equidigital number, since it uses as much as digits as its factorization.

74008943136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4310 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

It can be divided in two parts, 740089 and 43136, that added together give a square (783225 = 8852).

The spelling of 74008943136 in words is "seventy-four billion, eight million, nine hundred forty-three thousand, one hundred thirty-six".