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41826450952260 = 2232513171051444217
BaseRepresentation
bin10011000001010011110101…
…10000000101000001000100
312111002120101021121202220200
421200221322300011001010
520440241032420433020
6224542450054530500
711544601306013502
oct1140517260050104
9174076337552820
1041826450952260
1112366553170687
1248362b5966a30
131a452a98245c0
14a485a7c07672
154c8006a04590
hex260a7ac05044

41826450952260 has 144 divisors (see below), whose sum is σ = 144670312843056. Its totient is φ = 9690109894656.

The previous prime is 41826450952193. The next prime is 41826450952261. The reversal of 41826450952260 is 6225905462814.

41826450952260 is a `hidden beast` number, since 4 + 1 + 8 + 2 + 6 + 4 + 50 + 9 + 522 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4149344556036 + 37677106396224 = 2036994^2 + 6138168^2 .

It is a super-2 number, since 2×418264509522602 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41826450952197 and 41826450952206.

It is not an unprimeable number, because it can be changed into a prime (41826450952261) 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, 525682329 + ... + 525761888.

It is an arithmetic number, because the mean of its divisors is an integer number (1004654950299).

Almost surely, 241826450952260 is an apocalyptic number.

It is an amenable number.

41826450952260 is an abundant number, since it is smaller than the sum of its proper divisors (102843861890796).

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

41826450952260 is a wasteful number, since it uses less digits than its factorization.

41826450952260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051444262 (or 1051444257 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 41826450952260 in words is "forty-one trillion, eight hundred twenty-six billion, four hundred fifty million, nine hundred fifty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1170 1326 1530 1989 2210 2340 2652 3060 3315 3978 4420 6630 7956 9945 13260 19890 39780 1051444217 2102888434 3154332651 4205776868 5257221085 6308665302 9462997953 10514442170 12617330604 13668774821 15771663255 17874551689 18925995906 21028884340 27337549642 31543326510 35749103378 37851991812 41006324463 47314989765 53623655067 54675099284 63086653020 68343874105 71498206756 82012648926 89372758445 94629979530 107247310134 123018973389 136687748210 160870965201 164025297852 178745516890 189259959060 205031622315 214494620268 232369171957 246037946778 268118275335 273375496420 321741930402 357491033780 410063244630 464738343914 492075893556 536236550670 615094866945 643483860804 697107515871 804354826005 820126489260 929476687828 1072473101340 1161845859785 1230189733890 1394215031742 1608709652010 2091322547613 2323691719570 2460379467780 2788430063484 3217419304020 3485537579355 4182645095226 4647383439140 6971075158710 8365290190452 10456612738065 13942150317420 20913225476130 41826450952260