Search a number
-
+
2030469120000 = 218365417
BaseRepresentation
bin11101100011000001011…
…001000000000000000000
321012002222212212112000000
4131203001121000000000
5231231400043320000
64152441252000000
7266460626515506
oct35430131000000
97162885775000
102030469120000
1171313197a6a2
12289628000000
1311961ab8bb69
14703bd332676
1537c3cdc0000
hex1d8c1640000

2030469120000 has 1330 divisors, whose sum is σ = 8055876324078. Its totient is φ = 509607936000.

The previous prime is 2030469119977. The next prime is 2030469120019. The reversal of 2030469120000 is 219640302.

It can be written as a sum of positive squares in 5 ways, for example, as 516742447104 + 1513726672896 = 718848^2 + 1230336^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 119439359992 + ... + 119439360008.

Almost surely, 22030469120000 is an apocalyptic number.

2030469120000 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 2030469120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027938162039).

2030469120000 is an abundant number, since it is smaller than the sum of its proper divisors (6025407204078).

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

2030469120000 is an frugal number, since it uses more digits than its factorization.

2030469120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 2030469120000 in words is "two trillion, thirty billion, four hundred sixty-nine million, one hundred twenty thousand".