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116642466 = 23229733061
BaseRepresentation
bin1101111001111…
…01001010100010
322010111001101100
412330331022202
5214330024331
615324015230
72614305333
oct674751242
9263431340
10116642466
115a929236
1233091516
131b21c915
14116c428a
15a390ae6
hex6f3d2a2

116642466 has 48 divisors (see below), whose sum is σ = 265107960. Its totient is φ = 37013760.

The previous prime is 116642459. The next prime is 116642467. The reversal of 116642466 is 664246611.

116642466 is a `hidden beast` number, since 1 + 1 + 6 + 642 + 4 + 6 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116186841 + 455625 = 10779^2 + 675^2 .

It is a super-2 number, since 2×1166424662 = 27210929749122312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 116642466.

It is not an unprimeable number, because it can be changed into a prime (116642467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36576 + ... + 39636.

Almost surely, 2116642466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116642466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132553980).

116642466 is an abundant number, since it is smaller than the sum of its proper divisors (148465494).

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

116642466 is a wasteful number, since it uses less digits than its factorization.

116642466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171 (or 3168 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 116642466 is about 10800.1141660632. The cubic root of 116642466 is about 488.5986142518.

The spelling of 116642466 in words is "one hundred sixteen million, six hundred forty-two thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 29 58 73 87 146 174 219 261 438 522 657 1314 2117 3061 4234 6122 6351 9183 12702 18366 19053 27549 38106 55098 88769 177538 223453 266307 446906 532614 670359 798921 1340718 1597842 2011077 4022154 6480137 12960274 19440411 38880822 58321233 116642466