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399245766912 = 28334112711093
BaseRepresentation
bin1011100111101001110…
…01101111000100000000
31102011112010100100201000
411303310321233010000
523020123404020122
6503224434212000
740562453011506
oct5636471570400
91364463310630
10399245766912
11144356910973
1265462724000
132b8582c0b85
1415475d4c676
15a5ba5b20ac
hex5cf4e6f100

399245766912 has 288 divisors, whose sum is σ = 1219069071360. Its totient is φ = 128802078720.

The previous prime is 399245766893. The next prime is 399245766943. The reversal of 399245766912 is 219667542993.

399245766912 is a `hidden beast` number, since 3 + 9 + 92 + 457 + 6 + 6 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 399245766912.

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 31 ways as a sum of consecutive naturals, for example, 35985238 + ... + 35996330.

It is an arithmetic number, because the mean of its divisors is an integer number (4232878720).

Almost surely, 2399245766912 is an apocalyptic number.

399245766912 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 399245766912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609534535680).

399245766912 is an abundant number, since it is smaller than the sum of its proper divisors (819823304448).

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

399245766912 is a wasteful number, since it uses less digits than its factorization.

399245766912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11286 (or 11266 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The spelling of 399245766912 in words is "three hundred ninety-nine billion, two hundred forty-five million, seven hundred sixty-six thousand, nine hundred twelve".