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12383975604 = 223721113314751
BaseRepresentation
bin10111000100010010…
…00111100010110100
31011222001122010212010
423202021013202310
5200330244204404
65404503324220
7615613025100
oct134211074264
934861563763
1012383975604
115285482190
122497450670
131224885420
14856a10900
154c731b189
hex2e22478b4

12383975604 has 288 divisors, whose sum is σ = 40772616192. Its totient is φ = 2872800000.

The previous prime is 12383975587. The next prime is 12383975609. The reversal of 12383975604 is 40657938321.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12383975609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2604229 + ... + 2608979.

It is an arithmetic number, because the mean of its divisors is an integer number (141571584).

It is a 1-persistent number, because it is pandigital, but 2⋅12383975604 = 24767951208 is not.

Almost surely, 212383975604 is an apocalyptic number.

12383975604 is a gapful number since it is divisible by the number (14) 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 12383975604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20386308096).

12383975604 is an abundant number, since it is smaller than the sum of its proper divisors (28388640588).

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

12383975604 is a wasteful number, since it uses less digits than its factorization.

12383975604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4827 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 12383975604 in words is "twelve billion, three hundred eighty-three million, nine hundred seventy-five thousand, six hundred four".