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6716820768 = 2537173971481
BaseRepresentation
bin1100100000101101…
…01000110100100000
3122100002212211220120
412100112220310200
5102224001231033
63030300440240
7325310014560
oct62026506440
918302784816
106716820768
112937519949
121375549080
13830747478
1447a0c4da0
15294a2e1b3
hex1905a8d20

6716820768 has 192 divisors, whose sum is σ = 21403968768. Its totient is φ = 1800437760.

The previous prime is 6716820757. The next prime is 6716820811. The reversal of 6716820768 is 8670286176.

It is a super-2 number, since 2×67168207682 = 90231362458872219648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 6716820768.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4534588 + ... + 4536068.

It is an arithmetic number, because the mean of its divisors is an integer number (111479004).

Almost surely, 26716820768 is an apocalyptic number.

6716820768 is a gapful number since it is divisible by the number (68) 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 6716820768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10701984384).

6716820768 is an abundant number, since it is smaller than the sum of its proper divisors (14687148000).

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

6716820768 is a wasteful number, since it uses less digits than its factorization.

6716820768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 6716820768 is about 81956.2125039951. The cubic root of 6716820768 is about 1886.7799530477.

The spelling of 6716820768 in words is "six billion, seven hundred sixteen million, eight hundred twenty thousand, seven hundred sixty-eight".