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452341202466150 = 232524374113154339
BaseRepresentation
bin110011011011001101110010…
…0101100001011010101100110
32012022121101201010220101221200
41212312123210230023111212
5433242124240312404100
64242014402450223330
7164164400452104204
oct14666334454132546
92168541633811850
10452341202466150
11121147910310488
1242896909584b46
131655279156207a
147d9b6069c4074
153746675787e00
hex19b66e4b0b566

452341202466150 has 144 divisors (see below), whose sum is σ = 1243720781983680. Its totient is φ = 117803168683200.

The previous prime is 452341202466143. The next prime is 452341202466161. The reversal of 452341202466150 is 51664202143254.

It is a happy number.

452341202466150 is a `hidden beast` number, since 4 + 5 + 2 + 3 + 4 + 1 + 2 + 0 + 24 + 6 + 615 + 0 = 666.

It is a super-2 number, since 2×4523412024661502 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 452341202466096 and 452341202466105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141825681 + ... + 144980019.

Almost surely, 2452341202466150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452341202466150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621860390991840).

452341202466150 is an abundant number, since it is smaller than the sum of its proper divisors (791379579517530).

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

452341202466150 is a wasteful number, since it uses less digits than its factorization.

452341202466150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161811 (or 3161803 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 452341202466150 in words is "four hundred fifty-two trillion, three hundred forty-one billion, two hundred two million, four hundred sixty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 43 45 50 75 86 90 129 150 215 225 258 387 430 450 645 774 1075 1290 1935 2150 3225 3870 6450 7411 9675 14822 19350 22233 37055 44466 66699 74110 111165 133398 185275 222330 318673 333495 370550 555825 637346 666990 956019 1111650 1593365 1667475 1912038 2868057 3154339 3186730 3334950 4780095 5736114 6308678 7966825 9463017 9560190 14340285 15771695 15933650 18926034 23900475 28389051 28680570 31543390 47315085 47800950 56778102 71701425 78858475 94630170 135636577 141945255 143402850 157716950 236575425 271273154 283890510 406909731 473150850 678182885 709726275 813819462 1220729193 1356365770 1419452550 2034548655 2441458386 3390914425 4069097310 6103645965 6781828850 10172743275 12207291930 20345486550 23376806329 30518229825 46753612658 61036459650 70130418987 116884031645 140260837974 210391256961 233768063290 350652094935 420782513922 584420158225 701304189870 1005202672147 1051956284805 1168840316450 1753260474675 2010405344294 2103912569610 3015608016441 3506520949350 5026013360735 5259781424025 6031216032882 9046824049323 10052026721470 10519562848050 15078040082205 18093648098646 25130066803675 30156080164410 45234120246615 50260133607350 75390200411025 90468240493230 150780400822050 226170601233075 452341202466150