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6999664896 = 283472832
BaseRepresentation
bin1101000010011011…
…00110100100000000
3200001211002211010000
412201031212210000
5103313403234041
63114323040000
7335313112200
oct64115464400
920054084100
106999664896
112a72145924
121434210000
13877219563
144a58b0400
152ae79ebb6
hex1a1366900

6999664896 has 405 divisors, whose sum is σ = 24575411091. Its totient is φ = 1975809024.

The previous prime is 6999664883. The next prime is 6999664901. The reversal of 6999664896 is 6984669996.

The square root of 6999664896 is 83664.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 84333271 + ... + 84333353.

Almost surely, 26999664896 is an apocalyptic number.

6999664896 is the 83664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6999664896

6999664896 is an abundant number, since it is smaller than the sum of its proper divisors (17575746195).

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

6999664896 is an frugal number, since it uses more digits than its factorization.

6999664896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 95 counting only the distinct ones).

The product of its digits is 272097792, while the sum is 72.

The cubic root of 6999664896 is about 1912.9006570047.

The spelling of 6999664896 in words is "six billion, nine hundred ninety-nine million, six hundred sixty-four thousand, eight hundred ninety-six".