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41665063050 = 232521341173713
BaseRepresentation
bin100110110011011011…
…100110100010001010
310222112201011111121100
4212303123212202022
51140312224004200
631050214522230
73003333123012
oct466333464212
9128481144540
1041665063050
1116740929606
1280a9666376
133c10018980
14203379ac42
15113cc88d00
hex9b36e688a

41665063050 has 144 divisors (see below), whose sum is σ = 123491892888. Its totient is φ = 10005811200.

The previous prime is 41665063001. The next prime is 41665063061. The reversal of 41665063050 is 5036056614.

41665063050 is a `hidden beast` number, since 4 + 16 + 6 + 5 + 0 + 630 + 5 + 0 = 666.

41665063050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 8661249 + 41656401801 = 2943^2 + 204099^2 .

It is a super-3 number, since 3×416650630503 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41665062996 and 41665063014.

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, 152994 + ... + 326706.

Almost surely, 241665063050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41665063050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61745946444).

41665063050 is an abundant number, since it is smaller than the sum of its proper divisors (81826829838).

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

41665063050 is a wasteful number, since it uses less digits than its factorization.

41665063050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173785 (or 173777 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 41665063050 in words is "forty-one billion, six hundred sixty-five million, sixty-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 41 45 50 65 75 78 82 90 117 123 130 150 195 205 225 234 246 325 369 390 410 450 533 585 615 650 738 975 1025 1066 1170 1230 1599 1845 1950 2050 2665 2925 3075 3198 3690 4797 5330 5850 6150 7995 9225 9594 13325 15990 18450 23985 26650 39975 47970 79950 119925 173713 239850 347426 521139 868565 1042278 1563417 1737130 2258269 2605695 3126834 4342825 4516538 5211390 6774807 7122233 7817085 8685650 11291345 13028475 13549614 14244466 15634170 20324421 21366699 22582690 26056950 33874035 35611165 39085425 40648842 42733398 56456725 64100097 67748070 71222330 78170850 92589029 101622105 106833495 112913450 128200194 169370175 178055825 185178058 203244210 213666990 277767087 320500485 338740350 356111650 462945145 508110525 534167475 555534174 641000970 833301261 925890290 1016221050 1068334950 1388835435 1602502425 1666602522 2314725725 2777670870 3205004850 4166506305 4629451450 6944177175 8333012610 13888354350 20832531525 41665063050