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993315968 = 277760281
BaseRepresentation
bin111011001101001…
…100110010000000
32120020002200100022
4323031030302000
54013242102333
6242322113012
733421021631
oct7315146200
92506080308
10993315968
1146a778a97
122387ab768
1312aa39a38
1495ccb888
155c310c98
hex3b34cc80

993315968 has 16 divisors (see below), whose sum is σ = 1978871910. Its totient is φ = 496657920.

The previous prime is 993315959. The next prime is 993315971. The reversal of 993315968 is 869513399.

It can be written as a sum of positive squares in only one way, i.e., 987970624 + 5345344 = 31432^2 + 2312^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×9933159682 = 1973353224567554048, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3880013 + ... + 3880268.

Almost surely, 2993315968 is an apocalyptic number.

993315968 is the 16847-th centered heptagonal number.

It is an amenable number.

993315968 is a deficient number, since it is larger than the sum of its proper divisors (985555942).

993315968 is an equidigital number, since it uses as much as digits as its factorization.

993315968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7760295 (or 7760283 counting only the distinct ones).

The product of its digits is 1574640, while the sum is 53.

The square root of 993315968 is about 31516.9155851267. The cubic root of 993315968 is about 997.7670067861.

The spelling of 993315968 in words is "nine hundred ninety-three million, three hundred fifteen thousand, nine hundred sixty-eight".