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3996261360000 = 273754713251
BaseRepresentation
bin111010001001110011101…
…111010010000110000000
3112011001001022210010000000
4322021303233102012000
51010433320402010000
612255505050000000
7561502040044050
oct72116357220600
915131038703000
103996261360000
1113008943a0048
12546603a16000
1322cacc396310
14db5c49c1560
156de42b60000
hex3a273bd2180

3996261360000 has 2560 divisors, whose sum is σ = 18436718361600. Its totient is φ = 839808000000.

The previous prime is 3996261359989. The next prime is 3996261360011. The reversal of 3996261360000 is 631626993.

It is a happy number.

3996261360000 is a `hidden beast` number, since 3 + 9 + 9 + 6 + 26 + 13 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3996261359989) and next prime (3996261360011).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 15921359875 + ... + 15921360125.

It is an arithmetic number, because the mean of its divisors is an integer number (7201843110).

Almost surely, 23996261360000 is an apocalyptic number.

3996261360000 is a gapful number since it is divisible by the number (30) 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 3996261360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9218359180800).

3996261360000 is an abundant number, since it is smaller than the sum of its proper divisors (14440457001600).

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

3996261360000 is an frugal number, since it uses more digits than its factorization.

3996261360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

Adding to 3996261360000 its reverse (631626993), we get a palindrome (3996892986993).

The spelling of 3996261360000 in words is "three trillion, nine hundred ninety-six billion, two hundred sixty-one million, three hundred sixty thousand".