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9131965668 = 22327199971913
BaseRepresentation
bin10001000000100111…
…01011110011100100
3212120102101220212200
420200103223303210
5122200240400133
64110053414500
7442204266420
oct104023536344
925512356780
109131965668
113966835a71
12192a33a430
13b26c066a7
14628b67b80
15386a97913
hex2204ebce4

9131965668 has 144 divisors (see below), whose sum is σ = 27812104320. Its totient is φ = 2468040192.

The previous prime is 9131965657. The next prime is 9131965673. The reversal of 9131965668 is 8665691319.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4772680 + ... + 4774592.

Almost surely, 29131965668 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 9131965668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13906052160).

9131965668 is an abundant number, since it is smaller than the sum of its proper divisors (18680138652).

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

9131965668 is a wasteful number, since it uses less digits than its factorization.

9131965668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2941 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 9131965668 is about 95561.3188900195. The cubic root of 9131965668 is about 2090.2011869544.

The spelling of 9131965668 in words is "nine billion, one hundred thirty-one million, nine hundred sixty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 997 1197 1596 1913 1994 2394 2991 3826 3988 4788 5739 5982 6979 7652 8973 11478 11964 13391 13958 17217 17946 18943 20937 22956 26782 27916 34434 35892 36347 37886 40173 41874 53564 56829 62811 68868 72694 75772 80346 83748 109041 113658 120519 125622 132601 145388 160692 170487 218082 227316 241038 251244 254429 265202 327123 340974 397803 436164 482076 508858 530404 654246 681948 763287 795606 1017716 1193409 1308492 1526574 1591212 1907261 2289861 2386818 3053148 3814522 4579722 4773636 5721783 7629044 9159444 11443566 13350827 17165349 22887132 26701654 34330698 36237959 40052481 53403308 68661396 72475918 80104962 108713877 120157443 144951836 160209924 217427754 240314886 253665713 326141631 434855508 480629772 507331426 652283262 760997139 1014662852 1304566524 1521994278 2282991417 3043988556 4565982834 9131965668