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12683050632 = 23357323827
BaseRepresentation
bin10111100111111011…
…11111111010001000
31012201220101201200000
423303331333322020
5201433330110012
65454305443000
7626204103000
oct136375777210
935656351600
1012683050632
11541928472a
12255b640460
13127181b1b5
14884623000
154e36e5ddc
hex2f3f7fe88

12683050632 has 384 divisors, whose sum is σ = 43400448000. Its totient is φ = 3461984064.

The previous prime is 12683050619. The next prime is 12683050673. The reversal of 12683050632 is 23605038621.

It is a happy number.

12683050632 is a `hidden beast` number, since 12 + 6 + 8 + 3 + 0 + 5 + 0 + 632 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15335803 + ... + 15336629.

It is an arithmetic number, because the mean of its divisors is an integer number (113022000).

Almost surely, 212683050632 is an apocalyptic number.

12683050632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12683050632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21700224000).

12683050632 is an abundant number, since it is smaller than the sum of its proper divisors (30717397368).

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

12683050632 is an equidigital number, since it uses as much as digits as its factorization.

12683050632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 12683050632 in words is "twelve billion, six hundred eighty-three million, fifty thousand, six hundred thirty-two".