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64161966 = 231141131181
BaseRepresentation
bin1111010011000…
…0100010101110
311110201202200010
43310300202232
5112411140331
610211114050
71406240061
oct364604256
9143652603
1064161966
1133243920
12195a2926
13103a647b
1487428d8
155975e46
hex3d308ae

64161966 has 64 divisors (see below), whose sum is σ = 145297152. Its totient is φ = 18720000.

The previous prime is 64161943. The next prime is 64161989. The reversal of 64161966 is 66916146.

64161966 = 1292 + 1302 + ... + 5792.

64161966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64161943) and next prime (64161989).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354396 + ... + 354576.

It is an arithmetic number, because the mean of its divisors is an integer number (2270268).

Almost surely, 264161966 is an apocalyptic number.

64161966 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64161966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72648576).

64161966 is an abundant number, since it is smaller than the sum of its proper divisors (81135186).

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

64161966 is a wasteful number, since it uses less digits than its factorization.

64161966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369.

The product of its digits is 46656, while the sum is 39.

The square root of 64161966 is about 8010.1164785539. The cubic root of 64161966 is about 400.3371449201.

The spelling of 64161966 in words is "sixty-four million, one hundred sixty-one thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 131 181 246 262 362 393 451 543 786 902 1086 1353 1441 1991 2706 2882 3982 4323 5371 5973 7421 8646 10742 11946 14842 16113 22263 23711 32226 44526 47422 59081 71133 81631 118162 142266 163262 177243 244893 260821 354486 489786 521642 782463 972151 1564926 1944302 2916453 5832906 10693661 21387322 32080983 64161966