Search a number
-
+
12019897344 = 2103713193173
BaseRepresentation
bin10110011000111000…
…10001010000000000
31011000200120001101010
423030130101100000
5144104043203334
65304420040520
7603602304330
oct131434212000
934020501333
1012019897344
115108a11864
1223b5533140
1311973102c0
1482051b0c0
154a53a10e9
hex2cc711400

12019897344 has 704 divisors, whose sum is σ = 43431772160. Its totient is φ = 2866544640.

The previous prime is 12019897343. The next prime is 12019897361. The reversal of 12019897344 is 44379891021.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 12019897293 and 12019897302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12019897343) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 164656092 + ... + 164656164.

Almost surely, 212019897344 is an apocalyptic number.

12019897344 is a gapful number since it is divisible by the number (14) 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 12019897344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21715886080).

12019897344 is an abundant number, since it is smaller than the sum of its proper divisors (31411874816).

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

12019897344 is a wasteful number, since it uses less digits than its factorization.

12019897344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 12019897344 in words is "twelve billion, nineteen million, eight hundred ninety-seven thousand, three hundred forty-four".