Search a number
-
+
18200019810000 = 243547292988509
BaseRepresentation
bin1000010001101100001011…
…01101110011011011010000
32101102220102200011210101210
410020312011231303123100
54341142120032410000
6102412550151500120
73555623312605620
oct410660555633320
971386380153353
1018200019810000
115887648788a56
12205b351987640
13a203401b6632
1446cc58368880
15218656e42350
hex108d85b736d0

18200019810000 has 400 divisors, whose sum is σ = 69460622985600. Its totient is φ = 4016554752000.

The previous prime is 18200019809969. The next prime is 18200019810031. The reversal of 18200019810000 is 1891000281.

It is an interprime number because it is at equal distance from previous prime (18200019809969) and next prime (18200019810031).

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×182000198100002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 18200019810000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4595746 + ... + 7584254.

It is an arithmetic number, because the mean of its divisors is an integer number (173651557464).

Almost surely, 218200019810000 is an apocalyptic number.

18200019810000 is a gapful number since it is divisible by the number (10) 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 18200019810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34730311492800).

18200019810000 is an abundant number, since it is smaller than the sum of its proper divisors (51260603175600).

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

18200019810000 is a wasteful number, since it uses less digits than its factorization.

18200019810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988576 (or 2988555 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The spelling of 18200019810000 in words is "eighteen trillion, two hundred billion, nineteen million, eight hundred ten thousand".