Search a number
-
+
2104199498304 = 263419107199657
BaseRepresentation
bin11110100111101100000…
…100000100101001000000
321110011022021120210220000
4132213230010010221000
5233433400032421204
64250353401520000
7305011011424611
oct36475404045100
97404267523800
102104199498304
11741427840142
1229b9841a3000
1312356b105347
1473bb5555c08
1539b05c48039
hex1e9ec104a40

2104199498304 has 280 divisors, whose sum is σ = 6627192089760. Its totient is φ = 658270623744.

The previous prime is 2104199498267. The next prime is 2104199498311. The reversal of 2104199498304 is 4038949914012.

2104199498304 is a `hidden beast` number, since 2 + 104 + 19 + 9 + 498 + 30 + 4 = 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 39 ways as a sum of consecutive naturals, for example, 10439244 + ... + 10638900.

Almost surely, 22104199498304 is an apocalyptic number.

2104199498304 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 2104199498304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313596044880).

2104199498304 is an abundant number, since it is smaller than the sum of its proper divisors (4522992591456).

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

2104199498304 is a wasteful number, since it uses less digits than its factorization.

2104199498304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199807 (or 199788 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 2104199498304 in words is "two trillion, one hundred four billion, one hundred ninety-nine million, four hundred ninety-eight thousand, three hundred four".