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9166395990672 = 2432292207994571
BaseRepresentation
bin1000010101100011011111…
…0001101110001010010000
31012110022001220012222002200
42011120313301232022100
52200140234333200142
631254552330043200
71634151560232504
oct205306761561220
935408056188080
109166395990672
112a144a0629798
121040613579500
13516506261a7b
14239927c48304
1510d68b92264c
hex85637c6e290

9166395990672 has 120 divisors (see below), whose sum is σ = 26549821059840. Its totient is φ = 2948764788480.

The previous prime is 9166395990659. The next prime is 9166395990707. The reversal of 9166395990672 is 2760995936619.

9166395990672 is a `hidden beast` number, since 9 + 166 + 395 + 9 + 9 + 0 + 6 + 72 = 666.

It is a super-3 number, since 3×91663959906723 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 9166395990672.

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, 8719147 + ... + 9713717.

It is an arithmetic number, because the mean of its divisors is an integer number (221248508832).

Almost surely, 29166395990672 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 9166395990672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13274910529920).

9166395990672 is an abundant number, since it is smaller than the sum of its proper divisors (17383425069168).

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

9166395990672 is a wasteful number, since it uses less digits than its factorization.

9166395990672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996821 (or 996812 counting only the distinct ones).

The product of its (nonzero) digits is 297606960, while the sum is 72.

The spelling of 9166395990672 in words is "nine trillion, one hundred sixty-six billion, three hundred ninety-five million, nine hundred ninety thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 2207 4176 4414 6621 8828 13242 17656 19863 26484 35312 39726 52968 64003 79452 105936 128006 158904 192009 256012 317808 384018 512024 576027 768036 994571 1024048 1152054 1536072 1989142 2304108 2983713 3072144 3978284 4608216 5967426 7956568 8951139 9216432 11934852 15913136 17902278 23869704 28842559 35804556 47739408 57685118 71609112 86527677 115370236 143218224 173055354 230740472 259583031 346110708 461480944 519166062 692221416 1038332124 1384442832 2076664248 2195018197 4153328496 4390036394 6585054591 8780072788 13170109182 17560145576 19755163773 26340218364 35120291152 39510327546 52680436728 63655527713 79020655092 105360873456 127311055426 158041310184 190966583139 254622110852 316082620368 381933166278 509244221704 572899749417 763866332556 1018488443408 1145799498834 1527732665112 2291598997668 3055465330224 4583197995336 9166395990672