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961441866 = 2337111072161
BaseRepresentation
bin111001010011100…
…111000001001010
32111000010022022000
4321103213001022
53432112114431
6235223011430
732553056340
oct7123470112
92430108260
10961441866
11453788560
12229b99b76
13124259a18
1491991990
15596169e6
hex394e704a

961441866 has 128 divisors (see below), whose sum is σ = 2689873920. Its totient is φ = 247276800.

The previous prime is 961441853. The next prime is 961441903. The reversal of 961441866 is 668144169.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 443826 + ... + 445986.

It is an arithmetic number, because the mean of its divisors is an integer number (21014640).

Almost surely, 2961441866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961441866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344936960).

961441866 is an abundant number, since it is smaller than the sum of its proper divisors (1728432054).

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

961441866 is a wasteful number, since it uses less digits than its factorization.

961441866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297 (or 2291 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 961441866 is about 31007.1260519255. The cubic root of 961441866 is about 986.9784642523.

The spelling of 961441866 in words is "nine hundred sixty-one million, four hundred forty-one thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 107 126 154 189 198 214 231 297 321 378 462 594 642 693 749 963 1177 1386 1498 1926 2079 2161 2247 2354 2889 3531 4158 4322 4494 5778 6483 6741 7062 8239 10593 12966 13482 15127 16478 19449 20223 21186 23771 24717 30254 31779 38898 40446 45381 47542 49434 58347 63558 71313 74151 90762 116694 136143 142626 148302 166397 213939 222453 231227 272286 332794 408429 427878 444906 462454 499191 641817 693681 816858 998382 1283634 1387362 1497573 1618589 2081043 2543497 2995146 3237178 4162086 4492719 4855767 5086994 6243129 7630491 8985438 9711534 12486258 14567301 15260982 17804479 22891473 29134602 35608958 43701903 45782946 53413437 68674419 87403806 106826874 137348838 160240311 320480622 480720933 961441866