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8045746866 = 2323760120101
BaseRepresentation
bin1110111111001000…
…00101101010110010
3202202201111021210200
413133210011222302
5112434202344431
63410212140030
7403244501643
oct73744055262
922681437720
108045746866
113459683783
121686607616
139b2b6c681
145647b56ca
15321534ee6
hex1df905ab2

8045746866 has 48 divisors (see below), whose sum is σ = 17934280728. Its totient is φ = 2604960000.

The previous prime is 8045746837. The next prime is 8045746867. The reversal of 8045746866 is 6686475408.

8045746866 is a `hidden beast` number, since 8 + 0 + 4 + 574 + 6 + 8 + 66 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8015441841 + 30305025 = 89529^2 + 5505^2 .

It is not an unprimeable number, because it can be changed into a prime (8045746867) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390216 + ... + 410316.

Almost surely, 28045746866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8045746866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8967140364).

8045746866 is an abundant number, since it is smaller than the sum of its proper divisors (9888533862).

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

8045746866 is a wasteful number, since it uses less digits than its factorization.

8045746866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20747 (or 20744 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The square root of 8045746866 is about 89698.0873040223. The cubic root of 8045746866 is about 2003.8049952482.

The spelling of 8045746866 in words is "eight billion, forty-five million, seven hundred forty-six thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 601 666 1202 1803 3606 5409 10818 20101 22237 40202 44474 60303 66711 120606 133422 180909 200133 361818 400266 743737 1487474 2231211 4462422 6693633 12080701 13387266 24161402 36242103 72484206 108726309 217452618 446985937 893971874 1340957811 2681915622 4022873433 8045746866