Search a number
-
+
993315967 = 7179918423
BaseRepresentation
bin111011001101001…
…100110001111111
32120020002200100021
4323031030301333
54013242102332
6242322113011
733421021630
oct7315146177
92506080307
10993315967
1146a778a96
122387ab767
1312aa39a37
1495ccb887
155c310c97
hex3b34cc7f

993315967 has 16 divisors (see below), whose sum is σ = 1203351552. Its totient is φ = 800426880.

The previous prime is 993315959. The next prime is 993315971. The reversal of 993315967 is 769513399.

It is a cyclic number.

It is not a de Polignac number, because 993315967 - 23 = 993315959 is a prime.

It is a super-2 number, since 2×9933159672 = 1973353220594290178, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993315977) 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 15 ways as a sum of consecutive naturals, for example, 113718 + ... + 122140.

It is an arithmetic number, because the mean of its divisors is an integer number (75209472).

Almost surely, 2993315967 is an apocalyptic number.

993315967 is a deficient number, since it is larger than the sum of its proper divisors (210035585).

993315967 is a wasteful number, since it uses less digits than its factorization.

993315967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9438.

The product of its digits is 1377810, while the sum is 52.

The square root of 993315967 is about 31516.9155692622. The cubic root of 993315967 is about 997.7670064512.

The spelling of 993315967 in words is "nine hundred ninety-three million, three hundred fifteen thousand, nine hundred sixty-seven".

Divisors: 1 7 17 119 991 6937 8423 16847 58961 117929 143191 1002337 8347193 58430351 141902281 993315967