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14474064150 = 2355271321953
BaseRepresentation
bin11010111101011100…
…01011000100010110
31101100201111122100000
431132232023010112
5214120330023100
610352125232130
71021452341520
oct153656130426
941321448300
1014474064150
116158260697
12297b402646
1314988b2b00
149b443aa10
1559aa76900
hex35eb8b116

14474064150 has 864 divisors, whose sum is σ = 53524074240. Its totient is φ = 2838551040.

The previous prime is 14474064113. The next prime is 14474064161. The reversal of 14474064150 is 5146047441.

It is a happy number.

14474064150 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 4 + 0 + 641 + 5 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 273095524 + ... + 273095576.

It is an arithmetic number, because the mean of its divisors is an integer number (61949160).

Almost surely, 214474064150 is an apocalyptic number.

14474064150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14474064150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26762037120).

14474064150 is an abundant number, since it is smaller than the sum of its proper divisors (39050010090).

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

14474064150 is a wasteful number, since it uses less digits than its factorization.

14474064150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 14474064150 in words is "fourteen billion, four hundred seventy-four million, sixty-four thousand, one hundred fifty".