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668142963 = 32535923741
BaseRepresentation
bin100111110100110…
…000110101110011
31201120020011211200
4213310300311303
52332021033323
6150144342243
722362056445
oct4764606563
91646204750
10668142963
11313170774
12167914983
13a8567087
1464a44495
153d9cd443
hex27d30d73

668142963 has 24 divisors (see below), whose sum is σ = 1000013040. Its totient is φ = 429599040.

The previous prime is 668142953. The next prime is 668142967. The reversal of 668142963 is 369241866.

It is not a de Polignac number, because 668142963 - 25 = 668142931 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (668142967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16273 + ... + 40013.

It is an arithmetic number, because the mean of its divisors is an integer number (41667210).

Almost surely, 2668142963 is an apocalyptic number.

668142963 is a deficient number, since it is larger than the sum of its proper divisors (331870077).

668142963 is a wasteful number, since it uses less digits than its factorization.

668142963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23859 (or 23856 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 668142963 is about 25848.4615209494. The cubic root of 668142963 is about 874.2248211581.

The spelling of 668142963 in words is "six hundred sixty-eight million, one hundred forty-two thousand, nine hundred sixty-three".

Divisors: 1 3 9 53 59 159 177 477 531 3127 9381 23741 28143 71223 213669 1258273 1400719 3774819 4202157 11324457 12606471 74238107 222714321 668142963