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14252829822 = 234721131971
BaseRepresentation
bin11010100011000100…
…01110110001111110
31100210022012202220000
431101202032301332
5213142211023242
610314143335130
71013125024500
oct152142166176
940708182800
1014252829822
116054395000
1229192b14a6
131461b0261a
14992ccbd70
15586425a4c
hex35188ec7e

14252829822 has 480 divisors, whose sum is σ = 43619938560. Its totient is φ = 3457792800.

The previous prime is 14252829821. The next prime is 14252829847. The reversal of 14252829822 is 22892825241.

14252829822 is a `hidden beast` number, since 1 + 42 + 528 + 2 + 9 + 82 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14252829821) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 200744047 + ... + 200744117.

It is an arithmetic number, because the mean of its divisors is an integer number (90874872).

Almost surely, 214252829822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14252829822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21809969280).

14252829822 is an abundant number, since it is smaller than the sum of its proper divisors (29367108738).

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

14252829822 is a wasteful number, since it uses less digits than its factorization.

14252829822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 113 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 14252829822 in words is "fourteen billion, two hundred fifty-two million, eight hundred twenty-nine thousand, eight hundred twenty-two".