Search a number
-
+
75835230384 = 2432821156003
BaseRepresentation
bin100011010100000100…
…0011100100010110000
321020202002100212010110
41012220020130202300
52220302304333014
654501020101320
75323160552064
oct1065010344260
9236662325113
1075835230384
112a186013021
1212845094840
1371c73429b4
1439559b3aa4
151e8ca4cd59
hex11a821c8b0

75835230384 has 40 divisors (see below), whose sum is σ = 195918121152. Its totient is φ = 25277062720.

The previous prime is 75835230371. The next prime is 75835230481. The reversal of 75835230384 is 48303253857.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1326127 + ... + 1382129.

Almost surely, 275835230384 is an apocalyptic number.

It is an amenable number.

75835230384 is an abundant number, since it is smaller than the sum of its proper divisors (120082890768).

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

75835230384 is a wasteful number, since it uses less digits than its factorization.

75835230384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84225 (or 84219 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 75835230384 in words is "seventy-five billion, eight hundred thirty-five million, two hundred thirty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 28211 56003 56422 84633 112006 112844 168009 169266 224012 225688 336018 338532 448024 451376 672036 677064 896048 1344072 1354128 2688144 1579900633 3159801266 4739701899 6319602532 9479403798 12639205064 18958807596 25278410128 37917615192 75835230384