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8673646401 = 337431067263
BaseRepresentation
bin10000001001111110…
…10101011101000001
3211101110222220001000
420010333111131001
5120230423141101
63552402202213
7424640530560
oct100477253501
924343886030
108673646401
113751057a12
121820953369
13a82c86164
145c3d41bd7
1535b714486
hex204fd5741

8673646401 has 32 divisors (see below), whose sum is σ = 15027077120. Its totient is φ = 4841100432.

The previous prime is 8673646393. The next prime is 8673646411. The reversal of 8673646401 is 1046463768.

It is a happy number.

It is not a de Polignac number, because 8673646401 - 23 = 8673646393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8673646411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 525505 + ... + 541758.

It is an arithmetic number, because the mean of its divisors is an integer number (469596160).

Almost surely, 28673646401 is an apocalyptic number.

It is an amenable number.

8673646401 is a deficient number, since it is larger than the sum of its proper divisors (6353430719).

8673646401 is a wasteful number, since it uses less digits than its factorization.

8673646401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067322 (or 1067316 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 8673646401 is about 93132.4132673475. The cubic root of 8673646401 is about 2054.6313217880.

The spelling of 8673646401 in words is "eight billion, six hundred seventy-three million, six hundred forty-six thousand, four hundred one".

Divisors: 1 3 7 9 21 27 43 63 129 189 301 387 903 1161 2709 8127 1067263 3201789 7470841 9605367 22412523 28816101 45892309 67237569 137676927 201712707 321246163 413030781 963738489 1239092343 2891215467 8673646401