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8024800968 = 2332111455569
BaseRepresentation
bin1110111100101000…
…01011111011001000
3202201021002010102200
413132110023323020
5112413322112333
63404143200200
7402601453122
oct73624137310
922637063380
108024800968
113448877818
12167b5a6060
139ab717852
14561ac2212
1531e798c13
hex1de50bec8

8024800968 has 24 divisors (see below), whose sum is σ = 21733836150. Its totient is φ = 2674933632.

The previous prime is 8024800963. The next prime is 8024800999. The reversal of 8024800968 is 8690084208.

It is a happy number.

8024800968 is a `hidden beast` number, since 80 + 2 + 480 + 0 + 96 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6872741604 + 1152059364 = 82902^2 + 33942^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (8024800963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55727713 + ... + 55727856.

Almost surely, 28024800968 is an apocalyptic number.

It is an amenable number.

8024800968 is an abundant number, since it is smaller than the sum of its proper divisors (13709035182).

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

8024800968 is a wasteful number, since it uses less digits than its factorization.

8024800968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111455581 (or 111455574 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 8024800968 is about 89581.2534406613. The cubic root of 8024800968 is about 2002.0646152818.

The spelling of 8024800968 in words is "eight billion, twenty-four million, eight hundred thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 111455569 222911138 334366707 445822276 668733414 891644552 1003100121 1337466828 2006200242 2674933656 4012400484 8024800968