Search a number
-
+
966366331 = 7536142701
BaseRepresentation
bin111001100110011…
…001010001111011
32111100101111101121
4321212121101323
53434342210311
6235520330111
732642656360
oct7146312173
92440344347
10966366331
11456541367
1222b773937
131252922c8
14924b4467
1559c8ab71
hex3999947b

966366331 has 16 divisors (see below), whose sum is σ = 1143730368. Its totient is φ = 799344000.

The previous prime is 966366307. The next prime is 966366337. The reversal of 966366331 is 133663669.

It is not a de Polignac number, because 966366331 - 211 = 966364283 is a prime.

It is a super-2 number, since 2×9663663312 = 1867727771380803122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (966366337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1281 + ... + 43981.

It is an arithmetic number, because the mean of its divisors is an integer number (71483148).

Almost surely, 2966366331 is an apocalyptic number.

966366331 is a deficient number, since it is larger than the sum of its proper divisors (177364037).

966366331 is a wasteful number, since it uses less digits than its factorization.

966366331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42822.

The product of its digits is 314928, while the sum is 43.

The square root of 966366331 is about 31086.4332305911. The cubic root of 966366331 is about 988.6606828911.

The spelling of 966366331 in words is "nine hundred sixty-six million, three hundred sixty-six thousand, three hundred thirty-one".

Divisors: 1 7 53 61 371 427 3233 22631 42701 298907 2263153 2604761 15842071 18233327 138052333 966366331