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399112295887872 = 210347192361107241
BaseRepresentation
bin101101010111111011001001…
…0100111110011010000000000
31221100010202121010100212010000
41122233312102213303100000
5404303023440221402442
63532501354011040000
7150031624516320360
oct13257662247632000
91840122533325100
10399112295887872
11106195635213406
123891a778440000
1314191188314658
14707b1d12a29a0
153121c6031cd4c
hex16afd929f3400

399112295887872 has 3520 divisors, whose sum is σ = 1541222172610560. Its totient is φ = 100271731507200.

The previous prime is 399112295887867. The next prime is 399112295887873. The reversal of 399112295887872 is 278788592211993.

399112295887872 is a `hidden beast` number, since 3 + 9 + 9 + 1 + 1 + 2 + 29 + 588 + 7 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (2194698240) is a multiple of the sum of its prime factors (490).

It is a junction number, because it is equal to n+sod(n) for n = 399112295887791 and 399112295887800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399112295887873) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1656067617672 + ... + 1656067617912.

It is an arithmetic number, because the mean of its divisors is an integer number (437847208128).

Almost surely, 2399112295887872 is an apocalyptic number.

399112295887872 is a gapful number since it is divisible by the number (32) 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 399112295887872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770611086305280).

399112295887872 is an abundant number, since it is smaller than the sum of its proper divisors (1142109876722688).

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

399112295887872 is a wasteful number, since it uses less digits than its factorization.

399112295887872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 463 counting only the distinct ones).

The product of its digits is 2194698240, while the sum is 81.

The spelling of 399112295887872 in words is "three hundred ninety-nine trillion, one hundred twelve billion, two hundred ninety-five million, eight hundred eighty-seven thousand, eight hundred seventy-two".