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1249116799056 = 24371719372771123
BaseRepresentation
bin10010001011010101001…
…010011100000001010000
311102102012002122000200020
4102023111022130001100
5130431142400032211
62353500352023440
7156150164414640
oct22132512340120
94372162560606
101249116799056
11441824961205
12182106831b80
1390a39393509
1444659832520
152275bc71306
hex122d529c050

1249116799056 has 640 divisors, whose sum is σ = 4240420024320. Its totient is φ = 308225212416.

The previous prime is 1249116799009. The next prime is 1249116799061. The reversal of 1249116799056 is 6509976119421.

It is a super-2 number, since 2×12491167990562 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1112302911 + ... + 1112304033.

It is an arithmetic number, because the mean of its divisors is an integer number (6625656288).

Almost surely, 21249116799056 is an apocalyptic number.

1249116799056 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 1249116799056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120210012160).

1249116799056 is an abundant number, since it is smaller than the sum of its proper divisors (2991303225264).

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

1249116799056 is a wasteful number, since it uses less digits than its factorization.

1249116799056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 60.

The spelling of 1249116799056 in words is "one trillion, two hundred forty-nine billion, one hundred sixteen million, seven hundred ninety-nine thousand, fifty-six".