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61116966 = 23231710711
BaseRepresentation
bin1110100100100…
…1001000100110
311021000001201100
43221021020212
5111121220331
610021540530
71341325401
oct351111046
9137001640
1061116966
1131554099
1218574746
13c87b4b1
14818cd38
155573ae6
hex3a49226

61116966 has 24 divisors (see below), whose sum is σ = 132850224. Its totient is φ = 20306160.

The previous prime is 61116953. The next prime is 61116971. The reversal of 61116966 is 66961116.

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 61116966.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351 + ... + 11061.

It is an arithmetic number, because the mean of its divisors is an integer number (5535426).

Almost surely, 261116966 is an apocalyptic number.

61116966 is an abundant number, since it is smaller than the sum of its proper divisors (71733258).

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

61116966 is a wasteful number, since it uses less digits than its factorization.

61116966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11036 (or 11033 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 61116966 is about 7817.7340706883. The cubic root of 61116966 is about 393.9011622178.

The spelling of 61116966 in words is "sixty-one million, one hundred sixteen thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 317 634 951 1902 2853 5706 10711 21422 32133 64266 96399 192798 3395387 6790774 10186161 20372322 30558483 61116966