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997911335916 = 2236114153103139
BaseRepresentation
bin11101000010110000010…
…01101001001111101100
310112101210011020022000000
432201120021221033230
5112322210300222131
62042233435104300
7132045113254245
oct16413011511754
93471704208000
10997911335916
11355236a2a730
1214149a5a2090
1373144649631
1436428cabccc
151ae581dcce6
hexe8582693ec

997911335916 has 672 divisors, whose sum is σ = 3031823208960. Its totient is φ = 284582937600.

The previous prime is 997911335899. The next prime is 997911335917. The reversal of 997911335916 is 619533119799.

997911335916 is a `hidden beast` number, since 9 + 9 + 7 + 9 + 1 + 1 + 33 + 591 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (997911335917) 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 223 ways as a sum of consecutive naturals, for example, 7179218175 + ... + 7179218313.

It is an arithmetic number, because the mean of its divisors is an integer number (4511641680).

Almost surely, 2997911335916 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 997911335916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515911604480).

997911335916 is an abundant number, since it is smaller than the sum of its proper divisors (2033911873044).

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

997911335916 is a wasteful number, since it uses less digits than its factorization.

997911335916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 352 counting only the distinct ones).

The product of its digits is 12400290, while the sum is 63.

The spelling of 997911335916 in words is "nine hundred ninety-seven billion, nine hundred eleven million, three hundred thirty-five thousand, nine hundred sixteen".