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996609966 = 231121519091
BaseRepresentation
bin111011011001110…
…000111110101110
32120110022000212020
4323121300332232
54020113004331
6242520451010
733461021262
oct7331607656
92513260766
10996609966
11471618900
12239919a66
1312b621151
14965080a2
155c761c96
hex3b670fae

996609966 has 48 divisors (see below), whose sum is σ = 2205646464. Its totient is φ = 299970000.

The previous prime is 996609961. The next prime is 996610003. The reversal of 996609966 is 669906699.

996609966 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996609961) 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 23 ways as a sum of consecutive naturals, for example, 105081 + ... + 114171.

It is an arithmetic number, because the mean of its divisors is an integer number (45950968).

Almost surely, 2996609966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996609966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102823232).

996609966 is an abundant number, since it is smaller than the sum of its proper divisors (1209036498).

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

996609966 is a wasteful number, since it uses less digits than its factorization.

996609966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9269 (or 9258 counting only the distinct ones).

The product of its (nonzero) digits is 8503056, while the sum is 60.

The square root of 996609966 is about 31569.1299531679. The cubic root of 996609966 is about 998.8687093307.

The spelling of 996609966 in words is "nine hundred ninety-six million, six hundred nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 121 151 242 302 363 453 726 906 1661 3322 4983 9091 9966 18182 18271 27273 36542 54546 54813 100001 109626 200002 300003 600006 1100011 1372741 2200022 2745482 3300033 4118223 6600066 8236446 15100151 30200302 45300453 90600906 166101661 332203322 498304983 996609966