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6798640680 = 23325131785453
BaseRepresentation
bin1100101010011101…
…10000011000101000
3122112210211201201200
412111032300120220
5102410423000210
63042342244200
7330322330566
oct62516603050
918483751650
106798640680
112979723407
121398a26660
13844694010
14486d02a36
1529bce20c0
hex1953b0628

6798640680 has 192 divisors, whose sum is σ = 25195257360. Its totient is φ = 1575051264.

The previous prime is 6798640661. The next prime is 6798640727. The reversal of 6798640680 is 860468976.

It can be written as a sum of positive squares in 8 ways, for example, as 3451092516 + 3347548164 = 58746^2 + 57858^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36834 + ... + 122286.

Almost surely, 26798640680 is an apocalyptic number.

6798640680 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 6798640680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12597628680).

6798640680 is an abundant number, since it is smaller than the sum of its proper divisors (18396616680).

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

6798640680 is a wasteful number, since it uses less digits than its factorization.

6798640680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85500 (or 85493 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 6798640680 is about 82453.8700122681. The cubic root of 6798640680 is about 1894.4102266787.

The spelling of 6798640680 in words is "six billion, seven hundred ninety-eight million, six hundred forty thousand, six hundred eighty".