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69144966 = 23211253599
BaseRepresentation
bin1000001111100…
…01000110000110
311211002221001200
410013301012012
5120200114331
610510003330
71466502552
oct407610606
9154087050
1069144966
1136037700
121b1a6546
131142c5a7
14927c862
15610c5e6
hex41f1186

69144966 has 72 divisors (see below), whose sum is σ = 168058800. Its totient is φ = 20523360.

The previous prime is 69144949. The next prime is 69144979. The reversal of 69144966 is 66944196.

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 35 ways as a sum of consecutive naturals, for example, 115135 + ... + 115733.

It is an arithmetic number, because the mean of its divisors is an integer number (2334150).

Almost surely, 269144966 is an apocalyptic number.

69144966 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 69144966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84029400).

69144966 is an abundant number, since it is smaller than the sum of its proper divisors (98913834).

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

69144966 is a wasteful number, since it uses less digits than its factorization.

69144966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 668 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 69144966 is about 8315.3452123168. The cubic root of 69144966 is about 410.4436324345.

The spelling of 69144966 in words is "sixty-nine million, one hundred forty-four thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 121 159 198 242 318 363 477 583 599 726 954 1089 1166 1198 1749 1797 2178 3498 3594 5247 5391 6413 6589 10494 10782 12826 13178 19239 19767 31747 38478 39534 57717 59301 63494 72479 95241 115434 118602 144958 190482 217437 285723 349217 434874 571446 652311 698434 1047651 1304622 2095302 3142953 3841387 6285906 7682774 11524161 23048322 34572483 69144966