Search a number
-
+
116452292004 = 22332937181447
BaseRepresentation
bin110110001110100011…
…0001111010110100100
3102010120202112101001000
41230131012033112210
53401443241321004
6125255240433300
711261540102256
oct1543506172644
9363522471030
10116452292004
1145429312644
121a69b778830
13ac9b1b5979
1458ca0c9cd6
1530687c2c39
hex1b1d18f5a4

116452292004 has 48 divisors (see below), whose sum is σ = 312324163200. Its totient is φ = 37478897568.

The previous prime is 116452291951. The next prime is 116452292009. The reversal of 116452292004 is 400292254611.

It is a happy number.

116452292004 is a `hidden beast` number, since 1 + 1 + 645 + 2 + 2 + 9 + 2 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×1164522920042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 116452292004.

It is not an unprimeable number, because it can be changed into a prime (116452292009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18587592 + ... + 18593855.

It is an arithmetic number, because the mean of its divisors is an integer number (6506753400).

Almost surely, 2116452292004 is an apocalyptic number.

It is an amenable number.

116452292004 is an abundant number, since it is smaller than the sum of its proper divisors (195871871196).

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

116452292004 is a wasteful number, since it uses less digits than its factorization.

116452292004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37181489 (or 37181481 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 116452292004 in words is "one hundred sixteen billion, four hundred fifty-two million, two hundred ninety-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 37181447 74362894 111544341 148725788 223088682 334633023 446177364 669266046 1003899069 1078261963 1338532092 2007798138 2156523926 3234785889 4015596276 4313047852 6469571778 9704357667 12939143556 19408715334 29113073001 38817430668 58226146002 116452292004