Search a number
-
+
445458673864336 = 24115994225400989
BaseRepresentation
bin110010101001001000110111…
…0000001001000111010010000
32011102020102200220002202110211
41211102101232001020322100
5431341343331002124321
64215224520100333504
7162554220130204306
oct14522215601107220
92142212626082424
10445458673864336
11119a33a653492a0
1241b64a606a4294
131617375a2b8c12
147c00459d5a276
1536776080640e1
hex195246e048e90

445458673864336 has 40 divisors (see below), whose sum is σ = 943109500968000. Its totient is φ = 202143183265920.

The previous prime is 445458673864333. The next prime is 445458673864361. The reversal of 445458673864336 is 633468376854544.

It is a Smith number, since the sum of its digits (76) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (445458673864333) 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 7 ways as a sum of consecutive naturals, for example, 2112595071 + ... + 2112805918.

It is an arithmetic number, because the mean of its divisors is an integer number (23577737524200).

Almost surely, 2445458673864336 is an apocalyptic number.

It is an amenable number.

445458673864336 is an abundant number, since it is smaller than the sum of its proper divisors (497650827103664).

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

445458673864336 is a wasteful number, since it uses less digits than its factorization.

445458673864336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4225401607 (or 4225401601 counting only the distinct ones).

The product of its digits is 16721510400, while the sum is 76.

The spelling of 445458673864336 in words is "four hundred forty-five trillion, four hundred fifty-eight billion, six hundred seventy-three million, eight hundred sixty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 599 1198 2396 4792 6589 9584 13178 26356 52712 105424 4225400989 8450801978 16901603956 33803207912 46479410879 67606415824 92958821758 185917643516 371835287032 743670574064 2531015192411 5062030384822 10124060769644 20248121539288 27841167116521 40496243078576 55682334233042 111364668466084 222729336932168 445458673864336