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1812943104 = 28371783239
BaseRepresentation
bin110110000001111…
…0101000100000000
311200100101001101220
41230003311010000
512203103134404
6455521355040
762632522260
oct15403650400
94610331356
101812943104
118503a4a95
12427198a80
1322b7a23cb
14132ac57a0
15a92634d9
hex6c0f5100

1812943104 has 288 divisors, whose sum is σ = 5933813760. Its totient is φ = 479625216.

The previous prime is 1812943103. The next prime is 1812943109. The reversal of 1812943104 is 4013492181.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1812943103) 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 31 ways as a sum of consecutive naturals, for example, 7585417 + ... + 7585655.

It is an arithmetic number, because the mean of its divisors is an integer number (20603520).

Almost surely, 21812943104 is an apocalyptic number.

1812943104 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 1812943104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966906880).

1812943104 is an abundant number, since it is smaller than the sum of its proper divisors (4120870656).

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

1812943104 is a wasteful number, since it uses less digits than its factorization.

1812943104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1812943104 is about 42578.6695893613. The cubic root of 1812943104 is about 1219.3490893106.

The spelling of 1812943104 in words is "one billion, eight hundred twelve million, nine hundred forty-three thousand, one hundred four".