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331047821412 = 22327211197112647
BaseRepresentation
bin1001101000100111111…
…11001110000001100100
31011122111021212202212200
410310103333032001210
520410441220241122
6412025315414500
732626450024200
oct4642377160144
91148437782780
10331047821412
1111843a957040
12541ab2b4430
13252aa305779
14120467c5b00
1589282b35ac
hex4d13fce064

331047821412 has 432 divisors, whose sum is σ = 1133657441280. Its totient is φ = 80307158400.

The previous prime is 331047821297. The next prime is 331047821449. The reversal of 331047821412 is 214128740133.

331047821412 is a `hidden beast` number, since 33 + 10 + 478 + 2 + 141 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 26169673 + ... + 26182319.

It is an arithmetic number, because the mean of its divisors is an integer number (2624207040).

Almost surely, 2331047821412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331047821412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566828720640).

331047821412 is an abundant number, since it is smaller than the sum of its proper divisors (802609619868).

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

331047821412 is a wasteful number, since it uses less digits than its factorization.

331047821412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12772 (or 12760 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 331047821412 in words is "three hundred thirty-one billion, forty-seven million, eight hundred twenty-one thousand, four hundred twelve".