Search a number
-
+
12092757062496 = 25311109195153849
BaseRepresentation
bin1010111111111001000001…
…1111010011001101100000
31120211001112000212002122120
42233332100133103031200
53041111431301444441
641415200315504240
72355446536023105
oct257762037231540
946731460762576
1012092757062496
113942567116840
1214337a7a58080
1369945a787496
142db414b24aac
1515e861354966
hexaff907d3360

12092757062496 has 192 divisors, whose sum is σ = 34965520128000. Its totient is φ = 3628924416000.

The previous prime is 12092757062471. The next prime is 12092757062591. The reversal of 12092757062496 is 69426075729021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224540980 + ... + 224594828.

It is an arithmetic number, because the mean of its divisors is an integer number (182112084000).

Almost surely, 212092757062496 is an apocalyptic number.

12092757062496 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 12092757062496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17482760064000).

12092757062496 is an abundant number, since it is smaller than the sum of its proper divisors (22872763065504).

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

12092757062496 is a wasteful number, since it uses less digits than its factorization.

12092757062496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55933 (or 55925 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 12092757062496 in words is "twelve trillion, ninety-two billion, seven hundred fifty-seven million, sixty-two thousand, four hundred ninety-six".