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1820638512 = 243373111117
BaseRepresentation
bin110110010000100…
…1011110100110000
311200212212000112000
41230201023310300
512212040413022
6500354334000
763055113000
oct15441136460
94625760460
101820638512
11854780730
1242988a300
13230267cc4
14133b2a000
15a9c836ac
hex6c84bd30

1820638512 has 320 divisors, whose sum is σ = 6654336000. Its totient is φ = 472469760.

The previous prime is 1820638507. The next prime is 1820638517. The reversal of 1820638512 is 2158360281.

It is a happy number.

1820638512 is a `hidden beast` number, since 1 + 8 + 2 + 0 + 638 + 5 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (1820638507) and next prime (1820638517).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1820638517) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1629378 + ... + 1630494.

It is an arithmetic number, because the mean of its divisors is an integer number (20794800).

Almost surely, 21820638512 is an apocalyptic number.

1820638512 is a gapful number since it is divisible by the number (12) 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 1820638512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327168000).

1820638512 is an abundant number, since it is smaller than the sum of its proper divisors (4833697488).

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

1820638512 is a wasteful number, since it uses less digits than its factorization.

1820638512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1820638512 is about 42668.9408352258. The cubic root of 1820638512 is about 1221.0719128905.

Adding to 1820638512 its reverse (2158360281), we get a palindrome (3978998793).

The spelling of 1820638512 in words is "one billion, eight hundred twenty million, six hundred thirty-eight thousand, five hundred twelve".