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12058423416 = 2332131929103227
BaseRepresentation
bin10110011101011110…
…01111000001111000
31011010101001101012200
423032233033001320
5144143424022131
65312313510200
7604550623254
oct131657170170
934111041180
1012058423416
115128735a96
122406412360
1311a22abcb0
148256a9264
154a89612e6
hex2cebcf078

12058423416 has 384 divisors, whose sum is σ = 38840256000. Its totient is φ = 3346043904.

The previous prime is 12058423373. The next prime is 12058423441. The reversal of 12058423416 is 61432485021.

It is a happy number.

12058423416 is a `hidden beast` number, since 12 + 0 + 584 + 23 + 41 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53120695 + ... + 53120921.

It is an arithmetic number, because the mean of its divisors is an integer number (101146500).

Almost surely, 212058423416 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 12058423416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19420128000).

12058423416 is an abundant number, since it is smaller than the sum of its proper divisors (26781832584).

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

12058423416 is a wasteful number, since it uses less digits than its factorization.

12058423416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12058423416 in words is "twelve billion, fifty-eight million, four hundred twenty-three thousand, four hundred sixteen".