Search a number
-
+
289386474120 = 23355139214189
BaseRepresentation
bin1000011011000001100…
…01110010101010001000
31000122221211201001100000
410031200301302222020
514220130414132440
6340535312243000
726623160305242
oct4154061625210
91018854631300
10289386474120
11101801136207
1248102b40460
132139acbb193
1410013715092
1577daa10730
hex4360c72a88

289386474120 has 192 divisors, whose sum is σ = 982361016000. Its totient is φ = 76614190848.

The previous prime is 289386474089. The next prime is 289386474131. The reversal of 289386474120 is 21474683982.

289386474120 is a `hidden beast` number, since 2 + 8 + 93 + 86 + 474 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1243986 + ... + 1458174.

It is an arithmetic number, because the mean of its divisors is an integer number (5116463625).

Almost surely, 2289386474120 is an apocalyptic number.

289386474120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289386474120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491180508000).

289386474120 is an abundant number, since it is smaller than the sum of its proper divisors (692974541880).

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

289386474120 is a wasteful number, since it uses less digits than its factorization.

289386474120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214354 (or 214338 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 289386474120 in words is "two hundred eighty-nine billion, three hundred eighty-six million, four hundred seventy-four thousand, one hundred twenty".