Search a number
-
+
2099381544 = 2333132172199
BaseRepresentation
bin111110100100010…
…0000010100101000
312102022100122002000
41331020200110220
513244420202134
6544153011000
7103011306621
oct17510402450
95368318060
102099381544
11988056477
124a70b3a60
13275c32500
1415cb68a48
15c4493e99
hex7d220528

2099381544 has 288 divisors, whose sum is σ = 6741720000. Its totient is φ = 604910592.

The previous prime is 2099381521. The next prime is 2099381567. The reversal of 2099381544 is 4451839902.

2099381544 is a `hidden beast` number, since 20 + 9 + 9 + 3 + 81 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (2099381521) and next prime (2099381567).

It is a self number, because there is not a number n which added to its sum of digits gives 2099381544.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10549557 + ... + 10549755.

It is an arithmetic number, because the mean of its divisors is an integer number (23408750).

Almost surely, 22099381544 is an apocalyptic number.

2099381544 is a gapful number since it is divisible by the number (24) 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 2099381544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370860000).

2099381544 is an abundant number, since it is smaller than the sum of its proper divisors (4642338456).

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

2099381544 is a wasteful number, since it uses less digits than its factorization.

2099381544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2099381544 is about 45819.0085444895. The cubic root of 2099381544 is about 1280.4534412371.

The spelling of 2099381544 in words is "two billion, ninety-nine million, three hundred eighty-one thousand, five hundred forty-four".