Search a number
-
+
2104787341800 = 233252111347173981
BaseRepresentation
bin11110101000001111000…
…110100001000111101000
321110012211020201100120100
4132220033012201013220
5233441101024414200
64250532001225400
7305031410133213
oct36501706410750
97405736640510
102104787341800
117416a9645710
1229bb09032260
13123632b35930
1473c2d65677a
1539b3c663d00
hex1ea0f1a11e8

2104787341800 has 576 divisors, whose sum is σ = 8481079676160. Its totient is φ = 460977408000.

The previous prime is 2104787341771. The next prime is 2104787341837. The reversal of 2104787341800 is 81437874012.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 12010810 + ... + 12184790.

It is an arithmetic number, because the mean of its divisors is an integer number (14724096660).

Almost surely, 22104787341800 is an apocalyptic number.

2104787341800 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 2104787341800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240539838080).

2104787341800 is an abundant number, since it is smaller than the sum of its proper divisors (6376292334360).

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

2104787341800 is a wasteful number, since it uses less digits than its factorization.

2104787341800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174074 (or 174062 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 2104787341800 in words is "two trillion, one hundred four billion, seven hundred eighty-seven million, three hundred forty-one thousand, eight hundred".