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996215970816 = 210331137223397
BaseRepresentation
bin11100111111100110001…
…10010101110000000000
310112020102000002211022000
432133303012111300000
5112310222242031231
62041353313344000
7131655106014663
oct16376306256000
93466360084260
10996215970816
11354546a42850
121410a6868000
1372c34333911
1436307a716da
151ada94526e6
hexe7f3195c00

996215970816 has 704 divisors, whose sum is σ = 3328693186560. Its totient is φ = 291670917120.

The previous prime is 996215970773. The next prime is 996215970817. The reversal of 996215970816 is 618079512699.

996215970816 is a `hidden beast` number, since 9 + 9 + 6 + 21 + 597 + 0 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996215970817) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2509359930 + ... + 2509360326.

Almost surely, 2996215970816 is an apocalyptic number.

996215970816 is a gapful number since it is divisible by the number (96) 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 996215970816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664346593280).

996215970816 is an abundant number, since it is smaller than the sum of its proper divisors (2332477215744).

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

996215970816 is a wasteful number, since it uses less digits than its factorization.

996215970816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 996215970816 in words is "nine hundred ninety-six billion, two hundred fifteen million, nine hundred seventy thousand, eight hundred sixteen".