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5966418401 = 89221330293
BaseRepresentation
bin1011000111010000…
…00101000111100001
3120101210212110101022
411203220011013201
544204400342101
62424013015225
7300565501556
oct54350050741
916353773338
105966418401
1125919844a9
1211a6184515
1374113b7b8
1440858aa2d
1524dc02a1b
hex163a051e1

5966418401 has 8 divisors (see below), whose sum is σ = 6036382440. Its totient is φ = 5896519552.

The previous prime is 5966418329. The next prime is 5966418421. The reversal of 5966418401 is 1048146695.

It can be written as a sum of positive squares in 4 ways, for example, as 1560645025 + 4405773376 = 39505^2 + 66376^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 5966418401 - 214 = 5966402017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5966418421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181811 + ... + 212103.

It is an arithmetic number, because the mean of its divisors is an integer number (754547805).

Almost surely, 25966418401 is an apocalyptic number.

It is an amenable number.

5966418401 is a deficient number, since it is larger than the sum of its proper divisors (69964039).

5966418401 is a wasteful number, since it uses less digits than its factorization.

5966418401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32595.

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 5966418401 is about 77242.5944735157. The cubic root of 5966418401 is about 1813.7241475318.

The spelling of 5966418401 in words is "five billion, nine hundred sixty-six million, four hundred eighteen thousand, four hundred one".

Divisors: 1 89 2213 30293 196957 2696077 67038409 5966418401