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117146466 = 23347101457
BaseRepresentation
bin1101111101110…
…00001101100010
322011102122202000
412332320031202
5214442141331
615342504430
72621504613
oct676701542
9264378660
10117146466
1160142968
1233295116
131b368148
14117b5c0a
15a4400e6
hex6fb8362

117146466 has 64 divisors (see below), whose sum is σ = 269084160. Its totient is φ = 37756800.

The previous prime is 117146461. The next prime is 117146501. The reversal of 117146466 is 664641711.

It is a happy number.

117146466 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 4 + 646 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 117146466.

It is not an unprimeable number, because it can be changed into a prime (117146461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256110 + ... + 256566.

It is an arithmetic number, because the mean of its divisors is an integer number (4204440).

Almost surely, 2117146466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117146466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134542080).

117146466 is an abundant number, since it is smaller than the sum of its proper divisors (151937694).

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

117146466 is a wasteful number, since it uses less digits than its factorization.

117146466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 610 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 117146466 is about 10823.4221020895. The cubic root of 117146466 is about 489.3013310812.

The spelling of 117146466 in words is "one hundred seventeen million, one hundred forty-six thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 47 54 94 101 141 202 282 303 423 457 606 846 909 914 1269 1371 1818 2538 2727 2742 4113 4747 5454 8226 9494 12339 14241 21479 24678 28482 42723 42958 46157 64437 85446 92314 128169 128874 138471 193311 256338 276942 386622 415413 579933 830826 1159866 1246239 2169379 2492478 4338758 6508137 13016274 19524411 39048822 58573233 117146466