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985996247040 = 2143357431481
BaseRepresentation
bin11100101100100011111…
…01001100000000000000
310111021000202220001211000
432112101331030000000
5112123310014401130
62032543241252000
7131143622546640
oct16262175140000
93437022801730
10985996247040
113501821a4042
1213b114194000
1371c95c7469c
1435a18674520
151a9ac141260
hexe591f4c000

985996247040 has 960 divisors, whose sum is σ = 4102407429120. Its totient is φ = 219980759040.

The previous prime is 985996247039. The next prime is 985996247053. The reversal of 985996247040 is 40742699589.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 665763100 + ... + 665764580.

It is an arithmetic number, because the mean of its divisors is an integer number (4273341072).

Almost surely, 2985996247040 is an apocalyptic number.

985996247040 is a gapful number since it is divisible by the number (90) 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 985996247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051203714560).

985996247040 is an abundant number, since it is smaller than the sum of its proper divisors (3116411182080).

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

985996247040 is a wasteful number, since it uses less digits than its factorization.

985996247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 985996247040 in words is "nine hundred eighty-five billion, nine hundred ninety-six million, two hundred forty-seven thousand, forty".