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960714228168 = 23321155132
BaseRepresentation
bin11011111101011110000…
…01111100000111001000
310101211202211022102211200
431332233001330013020
5111220020320300133
62013202424024200
7126260252126052
oct15765701740710
93354684272750
10960714228168
11340489155072
12136239302060
136c7971978c6
14346daa788d2
1519ecc812913
hexdfaf07c1c8

960714228168 has 36 divisors (see below), whose sum is σ = 2601956893185. Its totient is φ = 320235303744.

The previous prime is 960714228151. The next prime is 960714228217. The reversal of 960714228168 is 861822417069.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

960714228168 is a `hidden beast` number, since 9 + 607 + 1 + 4 + 2 + 28 + 1 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 826859225124 + 133855003044 = 909318^2 + 365862^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=693078.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8259180 + ... + 8374692.

Almost surely, 2960714228168 is an apocalyptic number.

It is an amenable number.

960714228168 is an abundant number, since it is smaller than the sum of its proper divisors (1641242665017).

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

960714228168 is an frugal number, since it uses more digits than its factorization.

960714228168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231038 (or 115518 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 960714228168 in words is "nine hundred sixty billion, seven hundred fourteen million, two hundred twenty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 115513 231026 346539 462052 693078 924104 1039617 1386156 2079234 2772312 4158468 8316936 13343253169 26686506338 40029759507 53373012676 80059519014 106746025352 120089278521 160119038028 240178557042 320238076056 480357114084 960714228168