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985399205376 = 293232989101107
BaseRepresentation
bin11100101011011100101…
…11101001111000000000
310111012111011110012121210
432111232113221320000
5112121044144033001
62032404112450120
7131123053021455
oct16255627517000
93435434405553
10985399205376
1134a9a6186883
1213ab88249940
1371bcc3734b1
143599d25b82c
151a974a09dd6
hexe56e5e9e00

985399205376 has 640 divisors, whose sum is σ = 2921020185600. Its totient is φ = 294197657600.

The previous prime is 985399205359. The next prime is 985399205381. The reversal of 985399205376 is 673502993589.

It is a happy number.

985399205376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9209338315 + ... + 9209338421.

It is an arithmetic number, because the mean of its divisors is an integer number (4564094040).

Almost surely, 2985399205376 is an apocalyptic number.

985399205376 is a gapful number since it is divisible by the number (96) 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 985399205376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460510092800).

985399205376 is an abundant number, since it is smaller than the sum of its proper divisors (1935620980224).

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

985399205376 is a wasteful number, since it uses less digits than its factorization.

985399205376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 110224800, while the sum is 66.

The spelling of 985399205376 in words is "nine hundred eighty-five billion, three hundred ninety-nine million, two hundred five thousand, three hundred seventy-six".