Search a number
-
+
1009430732800 = 2135272176197
BaseRepresentation
bin11101011000001101100…
…00101010000000000000
310120111111222000021211001
432230012300222000000
5113014303231422200
62051420455501344
7132633430441600
oct16540660520000
93514458007731
101009430732800
1135a108373046
12143774387854
137425c05aac9
1436bdcb42c00
151b3ce67776a
hexeb06c2a000

1009430732800 has 1008 divisors, whose sum is σ = 3166068093048. Its totient is φ = 317089382400.

The previous prime is 1009430732773. The next prime is 1009430732801. The reversal of 1009430732800 is 82370349001.

It can be written as a sum of positive squares in 12 ways, for example, as 5073997824 + 1004356734976 = 71232^2 + 1002176^2 .

It is a super-2 number, since 2×10094307328002 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1009430732800.

It is not an unprimeable number, because it can be changed into a prime (1009430732801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10406502352 + ... + 10406502448.

Almost surely, 21009430732800 is an apocalyptic number.

1009430732800 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 1009430732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583034046524).

1009430732800 is an abundant number, since it is smaller than the sum of its proper divisors (2156637360248).

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

1009430732800 is an equidigital number, since it uses as much as digits as its factorization.

1009430732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 1009430732800 in words is "one trillion, nine billion, four hundred thirty million, seven hundred thirty-two thousand, eight hundred".