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12925191443136 = 2637172311073441
BaseRepresentation
bin1011110000010110000101…
…1100011101001011000000
31200202122011211000002110020
42330011201130131023000
53143231243002140021
643253430113333440
72502546202352460
oct274054134351300
950678154002406
1012925191443136
1141335a7679795
121548ba4567280
13729ac026175b
14329822943ba0
15176331d387c6
hexbc16171d2c0

12925191443136 has 336 divisors, whose sum is σ = 42856888461312. Its totient is φ = 3363559833600.

The previous prime is 12925191443123. The next prime is 12925191443141. The reversal of 12925191443136 is 63134419152921.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11504176 + ... + 12577616.

Almost surely, 212925191443136 is an apocalyptic number.

12925191443136 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 12925191443136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21428444230656).

12925191443136 is an abundant number, since it is smaller than the sum of its proper divisors (29931697018176).

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

12925191443136 is a wasteful number, since it uses less digits than its factorization.

12925191443136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073528 (or 1073501 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The spelling of 12925191443136 in words is "twelve trillion, nine hundred twenty-five billion, one hundred ninety-one million, four hundred forty-three thousand, one hundred thirty-six".