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961116912 = 243274720287
BaseRepresentation
bin111001010010010…
…111101011110000
32110222111210112200
4321102113223300
53432021220122
6235212023200
732550234060
oct7122275360
92428453480
10961116912
114535863a8
12229a61b00
13124174b42
14919093a0
15595a05ac
hex39497af0

961116912 has 120 divisors (see below), whose sum is σ = 3139608576. Its totient is φ = 268748928.

The previous prime is 961116887. The next prime is 961116941. The reversal of 961116912 is 219611169.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37233 + ... + 57519.

Almost surely, 2961116912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961116912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569804288).

961116912 is an abundant number, since it is smaller than the sum of its proper divisors (2178491664).

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

961116912 is a wasteful number, since it uses less digits than its factorization.

961116912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20355 (or 20346 counting only the distinct ones).

The product of its digits is 5832, while the sum is 36.

The square root of 961116912 is about 31001.8856200716. The cubic root of 961116912 is about 986.8672567173.

The spelling of 961116912 in words is "nine hundred sixty-one million, one hundred sixteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 47 48 56 63 72 84 94 112 126 141 144 168 188 252 282 329 336 376 423 504 564 658 752 846 987 1008 1128 1316 1692 1974 2256 2632 2961 3384 3948 5264 5922 6768 7896 11844 15792 20287 23688 40574 47376 60861 81148 121722 142009 162296 182583 243444 284018 324592 365166 426027 486888 568036 730332 852054 953489 973776 1136072 1278081 1460664 1704108 1906978 2272144 2556162 2860467 2921328 3408216 3813956 5112324 5720934 6674423 6816432 7627912 8581401 10224648 11441868 13348846 15255824 17162802 20023269 20449296 22883736 26697692 34325604 40046538 45767472 53395384 60069807 68651208 80093076 106790768 120139614 137302416 160186152 240279228 320372304 480558456 961116912