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12152439936 = 2733713172273
BaseRepresentation
bin10110101000101011…
…11000010010000000
31011100220221220122000
423110111320102000
5144342011034221
65325512544000
7610102015020
oct132425702200
934326856560
1012152439936
11517680aa9a
1224319b2000
1311b8909180
14833d7da80
154b1d32e26
hex2d4578480

12152439936 has 512 divisors, whose sum is σ = 46760716800. Its totient is φ = 3015180288.

The previous prime is 12152439911. The next prime is 12152439961. The reversal of 12152439936 is 63993425121.

12152439936 is a `hidden beast` number, since 1 + 2 + 1 + 524 + 3 + 99 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (12152439911) and next prime (12152439961).

It is a junction number, because it is equal to n+sod(n) for n = 12152439891 and 12152439900.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5345296 + ... + 5347568.

It is an arithmetic number, because the mean of its divisors is an integer number (91329525).

Almost surely, 212152439936 is an apocalyptic number.

12152439936 is a gapful number since it is divisible by the number (16) 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 12152439936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23380358400).

12152439936 is an abundant number, since it is smaller than the sum of its proper divisors (34608276864).

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

12152439936 is a wasteful number, since it uses less digits than its factorization.

12152439936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2315 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The spelling of 12152439936 in words is "twelve billion, one hundred fifty-two million, four hundred thirty-nine thousand, nine hundred thirty-six".