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6997831680 = 21235753307
BaseRepresentation
bin1101000010001101…
…00111000000000000
3200001200122200102010
412201012213000000
5103312421103210
63114215452520
7335261405430
oct64106470000
920050580363
106997831680
112a71103574
121433687140
13876a27008
144a55542c0
152ae53b920
hex1a11a7000

6997831680 has 416 divisors, whose sum is σ = 26156680704. Its totient is φ = 1564213248.

The previous prime is 6997831667. The next prime is 6997831681. The reversal of 6997831680 is 861387996.

It is a super-2 number, since 2×69978316802 = 97939296443223244800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6997831680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6997831681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22794087 + ... + 22794393.

Almost surely, 26997831680 is an apocalyptic number.

6997831680 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 6997831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13078340352).

6997831680 is an abundant number, since it is smaller than the sum of its proper divisors (19158849024).

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

6997831680 is a wasteful number, since it uses less digits than its factorization.

6997831680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The square root of 6997831680 is about 83653.0434592789. The cubic root of 6997831680 is about 1912.7336458536.

The spelling of 6997831680 in words is "six billion, nine hundred ninety-seven million, eight hundred thirty-one thousand, six hundred eighty".