Search a number
-
+
1998323712000 = 22132537112
BaseRepresentation
bin11101000101000101011…
…000000000000000000000
321002001000121121121010100
4131011011120000000000
5230220031332241000
64130003420202400
7264242216202030
oct35050530000000
97061017547110
101998323712000
11700536703900
12283356699400
1311659719a995
146ca0ddbb8c0
1536eaac5ea00
hex1d145600000

1998323712000 has 1584 divisors, whose sum is σ = 9050433458976. Its totient is φ = 415236096000.

The previous prime is 1998323711963. The next prime is 1998323712031. The reversal of 1998323712000 is 2173238991.

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is a congruent number.

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, 181665791995 + ... + 181665792005.

Almost surely, 21998323712000 is an apocalyptic number.

1998323712000 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 1998323712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4525216729488).

1998323712000 is an abundant number, since it is smaller than the sum of its proper divisors (7052109746976).

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

1998323712000 is an frugal number, since it uses more digits than its factorization.

1998323712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 1998323712000 in words is "one trillion, nine hundred ninety-eight billion, three hundred twenty-three million, seven hundred twelve thousand".