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6985300680 = 2334517314091
BaseRepresentation
bin1101000000101101…
…10011101011001000
3200000211002001010000
412200112303223020
5103301214110210
63113051123000
7335050035051
oct64026635310
920024061100
106985300680
112a65024876
12142b443460
1387425a417
144a3a11728
152ad3b3ac0
hex1a05b3ac8

6985300680 has 320 divisors, whose sum is σ = 25667642880. Its totient is φ = 1696204800.

The previous prime is 6985300669. The next prime is 6985300681. The reversal of 6985300680 is 860035896.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6985300681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1705435 + ... + 1709525.

It is an arithmetic number, because the mean of its divisors is an integer number (80211384).

Almost surely, 26985300680 is an apocalyptic number.

6985300680 is a gapful number since it is divisible by the number (60) 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 6985300680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12833821440).

6985300680 is an abundant number, since it is smaller than the sum of its proper divisors (18682342200).

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

6985300680 is a wasteful number, since it uses less digits than its factorization.

6985300680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 6985300680 is about 83578.1112492978. Note that the first 3 decimals coincide. The cubic root of 6985300680 is about 1911.5912545425.

The spelling of 6985300680 in words is "six billion, nine hundred eighty-five million, three hundred thousand, six hundred eighty".