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961312716 = 2232713293441
BaseRepresentation
bin111001010011000…
…111011111001100
32110222212202010200
4321103013133030
53432044001331
6235220133500
732552010660
oct7123073714
92428782120
10961312716
114536aa521
12229b37290
13124212cc0
149195a8a0
15595dd5e6
hex394c77cc

961312716 has 72 divisors (see below), whose sum is σ = 2990760864. Its totient is φ = 253532160.

The previous prime is 961312679. The next prime is 961312769. The reversal of 961312716 is 617213169.

961312716 is a `hidden beast` number, since 9 + 613 + 1 + 27 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 143445 + ... + 149996.

Almost surely, 2961312716 is an apocalyptic number.

It is an amenable number.

961312716 is an abundant number, since it is smaller than the sum of its proper divisors (2029448148).

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

961312716 is a wasteful number, since it uses less digits than its factorization.

961312716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293471 (or 293466 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 961312716 is about 31005.0433961960. The cubic root of 961312716 is about 986.9342688339.

The spelling of 961312716 in words is "nine hundred sixty-one million, three hundred twelve thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 293441 586882 880323 1173764 1760646 2054087 2640969 3521292 3814733 4108174 5281938 6162261 7629466 8216348 10563876 11444199 12324522 15258932 18486783 22888398 24649044 26703131 34332597 36973566 45776796 53406262 68665194 73947132 80109393 106812524 137330388 160218786 240328179 320437572 480656358 961312716