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6769769820 = 223511109139677
BaseRepresentation
bin1100100111000001…
…00111110101011100
3122110210111221100120
412103200213311130
5102331030113240
63035431354540
7326522044152
oct62340476534
918423457316
106769769820
1129643a42a0
12138b222a50
1383b6c5c78
144831493d2
152994dcad0
hex193827d5c

6769769820 has 192 divisors, whose sum is σ = 21049459200. Its totient is φ = 1612016640.

The previous prime is 6769769807. The next prime is 6769769857. The reversal of 6769769820 is 289679676.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9999322 + ... + 9999998.

It is an arithmetic number, because the mean of its divisors is an integer number (109632600).

Almost surely, 26769769820 is an apocalyptic number.

6769769820 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 6769769820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10524729600).

6769769820 is an abundant number, since it is smaller than the sum of its proper divisors (14279689380).

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

6769769820 is a wasteful number, since it uses less digits than its factorization.

6769769820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 60.

The square root of 6769769820 is about 82278.6109508419. The cubic root of 6769769820 is about 1891.7248440344.

The spelling of 6769769820 in words is "six billion, seven hundred sixty-nine million, seven hundred sixty-nine thousand, eight hundred twenty".