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6816630912 = 2737131910267
BaseRepresentation
bin1100101100100110…
…11000100010000000
3122121001200201200120
412112103120202000
5102430024142122
63044224020240
7330631256340
oct62623304200
918531621616
106816630912
1129888a0773
1213a2a61680
13848322720
14489466d20
1529d69775c
hex1964d8880

6816630912 has 256 divisors, whose sum is σ = 23460326400. Its totient is φ = 1703006208.

The previous prime is 6816630859. The next prime is 6816630929. The reversal of 6816630912 is 2190366186.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 658803 + ... + 669069.

It is an arithmetic number, because the mean of its divisors is an integer number (91641900).

Almost surely, 26816630912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6816630912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11730163200).

6816630912 is an abundant number, since it is smaller than the sum of its proper divisors (16643695488).

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

6816630912 is a wasteful number, since it uses less digits than its factorization.

6816630912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10323 (or 10311 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 6816630912 is about 82562.8906470698. The cubic root of 6816630912 is about 1896.0797203390.

The spelling of 6816630912 in words is "six billion, eight hundred sixteen million, six hundred thirty thousand, nine hundred twelve".