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966140461 = 111323293749
BaseRepresentation
bin111001100101100…
…010001000101101
32111022222000120001
4321211202020231
53434312443321
6235511424301
732641026016
oct7145421055
92438860501
10966140461
114563a76a0
1222b685091
13125213560
149245600d
1559c43c91
hex3996222d

966140461 has 16 divisors (see below), whose sum is σ = 1184400000. Its totient is φ = 775494720.

The previous prime is 966140459. The next prime is 966140569. The reversal of 966140461 is 164041669.

It is the 12690-th star number.

It is not a de Polignac number, because 966140461 - 21 = 966140459 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 966140461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966140261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143586 + ... + 150163.

It is an arithmetic number, because the mean of its divisors is an integer number (74025000).

Almost surely, 2966140461 is an apocalyptic number.

It is an amenable number.

966140461 is a deficient number, since it is larger than the sum of its proper divisors (218259539).

966140461 is a wasteful number, since it uses less digits than its factorization.

966140461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293796.

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 966140461 is about 31082.8000830041. The cubic root of 966140461 is about 988.5836499269.

The spelling of 966140461 in words is "nine hundred sixty-six million, one hundred forty thousand, four hundred sixty-one".

Divisors: 1 11 13 23 143 253 299 3289 293749 3231239 3818737 6756227 42006107 74318497 87830951 966140461