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270872891864172 = 22321323110272282099
BaseRepresentation
bin111101100101101110000010…
…011111111011010001101100
31022112002012021120021221002200
4331211232002133323101230
5241000440140304123142
62400033142203021500
7111024630526356243
oct7545560237732154
91275065246257080
10270872891864172
11793436038a7624
1226468b9350a890
13b81b28653c410
144ac646452195a
15214b05b2bb64c
hexf65b827fb46c

270872891864172 has 144 divisors (see below), whose sum is σ = 769506155308800. Its totient is φ = 79714522952064.

The previous prime is 270872891864087. The next prime is 270872891864173. The reversal of 270872891864172 is 271468198278072.

270872891864172 is a `hidden beast` number, since 2 + 7 + 0 + 8 + 7 + 28 + 9 + 186 + 417 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 270872891864172.

It is not an unprimeable number, because it can be changed into a prime (270872891864173) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117553579 + ... + 119835677.

It is an arithmetic number, because the mean of its divisors is an integer number (5343792745200).

Almost surely, 2270872891864172 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 270872891864172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384753077654400).

270872891864172 is an abundant number, since it is smaller than the sum of its proper divisors (498633263444628).

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

270872891864172 is a wasteful number, since it uses less digits than its factorization.

270872891864172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293172 (or 2293167 counting only the distinct ones).

The product of its (nonzero) digits is 303464448, while the sum is 72.

The spelling of 270872891864172 in words is "two hundred seventy trillion, eight hundred seventy-two billion, eight hundred ninety-one million, eight hundred sixty-four thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1794 2691 3588 5382 10764 11027 22054 33081 44108 66162 99243 132324 143351 198486 253621 286702 396972 430053 507242 573404 760863 860106 1014484 1290159 1521726 1720212 2282099 2282589 2580318 3043452 3297073 4564198 4565178 5160636 6594146 6846297 9128396 9130356 9891219 13188292 13692594 19782438 20538891 27385188 29667287 29673657 39564876 41077782 52488277 59334574 59347314 82155564 89001861 104976554 118669148 118694628 157464831 178003722 209953108 267005583 314929662 356007444 472394493 534011166 629859324 682347601 944788986 1068022332 1364695202 1889577972 2047042803 2729390404 4094085606 6141128409 8188171212 12282256818 24564513636 25164705673 50329411346 75494117019 100658822692 150988234038 226482351057 301976468076 327141173749 452964702114 578788230479 654282347498 905929404228 981423521247 1157576460958 1308564694996 1736364691437 1962847042494 2315152921916 2944270563741 3472729382874 3925694084988 5209094074311 5888541127482 6945458765748 7524246996227 10418188148622 11777082254964 15048493992454 20836376297244 22572740988681 30096987984908 45145481977362 67718222966043 90290963954724 135436445932086 270872891864172