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4012000000 = 28561759
BaseRepresentation
bin1110111100100010…
…0100001100000000
3101100121021201100121
43233020210030000
531204033000000
61502035030024
7201264303001
oct35710441400
911317251317
104012000000
11177973aa88
1293b73b314
134bc2636c8
142a0b991a8
15187345b1a
hexef224300

4012000000 has 252 divisors, whose sum is σ = 10778768280. Its totient is φ = 1484800000.

The previous prime is 4011999997. The next prime is 4012000007. The reversal of 4012000000 is 2104.

It is a super-2 number, since 2×40120000002 = 32192288000000000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012000007) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 67999971 + ... + 68000029.

It is an arithmetic number, because the mean of its divisors is an integer number (42772890).

Almost surely, 24012000000 is an apocalyptic number.

4012000000 is a gapful number since it is divisible by the number (40) 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 4012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5389384140).

4012000000 is an abundant number, since it is smaller than the sum of its proper divisors (6766768280).

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

4012000000 is an frugal number, since it uses more digits than its factorization.

4012000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 4012000000 is about 63340.3504884525. The cubic root of 4012000000 is about 1588.9868682595.

Adding to 4012000000 its reverse (2104), we get a palindrome (4012002104).

The spelling of 4012000000 in words is "four billion, twelve million", and thus it is an aban number.