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6985222920 = 2334513212757
BaseRepresentation
bin1101000000101101…
…00000101100001000
3200000210221002110000
412200112200230020
5103301204113140
63113045323000
7335046262254
oct64026405410
920023832400
106985222920
112a64a81405
12142b406460
13874230c00
144a39d1264
152ad39aa30
hex1a05a0b08

6985222920 has 240 divisors, whose sum is σ = 25425035460. Its totient is φ = 1719304704.

The previous prime is 6985222919. The next prime is 6985222921. The reversal of 6985222920 is 292225896.

It is an interprime number because it is at equal distance from previous prime (6985222919) and next prime (6985222921).

It can be written as a sum of positive squares in 6 ways, for example, as 885300516 + 6099922404 = 29754^2 + 78102^2 .

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 (6985222921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 541182 + ... + 553938.

Almost surely, 26985222920 is an apocalyptic number.

6985222920 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 6985222920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12712517730).

6985222920 is an abundant number, since it is smaller than the sum of its proper divisors (18439812540).

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

6985222920 is a wasteful number, since it uses less digits than its factorization.

6985222920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12806 (or 12780 counting only the distinct ones).

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

The square root of 6985222920 is about 83577.6460544325. The cubic root of 6985222920 is about 1911.5841612717.

The spelling of 6985222920 in words is "six billion, nine hundred eighty-five million, two hundred twenty-two thousand, nine hundred twenty".