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41052164220 = 223252118271307
BaseRepresentation
bin100110001110111001…
…100101000001111100
310220221222220000110200
4212032321211001330
51133033323223340
630505322203500
72652211431654
oct461671450174
9126858800420
1041052164220
1116456970651
127b58353590
133b43054c42
141db6217364
15110406e330
hex98ee6507c

41052164220 has 144 divisors (see below), whose sum is σ = 125362194048. Its totient is φ = 10873860480.

The previous prime is 41052164183. The next prime is 41052164249. The reversal of 41052164220 is 2246125014.

41052164220 is a `hidden beast` number, since 4 + 10 + 5 + 2 + 1 + 642 + 2 + 0 = 666.

41052164220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31408807 + ... + 31410113.

It is an arithmetic number, because the mean of its divisors is an integer number (870570792).

Almost surely, 241052164220 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 41052164220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62681097024).

41052164220 is an abundant number, since it is smaller than the sum of its proper divisors (84310029828).

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

41052164220 is a wasteful number, since it uses less digits than its factorization.

41052164220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 41052164220 its reverse (2246125014), we get a palindrome (43298289234).

The spelling of 41052164220 in words is "forty-one billion, fifty-two million, one hundred sixty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 211 422 633 827 844 1055 1266 1307 1654 1899 2110 2481 2532 2614 3165 3308 3798 3921 4135 4220 4962 5228 6330 6535 7443 7596 7842 8270 9495 9924 11763 12405 12660 13070 14886 15684 16540 18990 19605 23526 24810 26140 29772 37215 37980 39210 47052 49620 58815 74430 78420 117630 148860 174497 235260 275777 348994 523491 551554 697988 827331 872485 1046982 1080889 1103108 1378885 1570473 1654662 1744970 2093964 2161778 2481993 2617455 2757770 3140946 3242667 3309324 3489940 4136655 4323556 4963986 5234910 5404445 5515540 6281892 6485334 7852365 8273310 9728001 9927972 10469820 10808890 12409965 12970668 15704730 16213335 16546620 19456002 21617780 24819930 31409460 32426670 38912004 48640005 49639860 64853340 97280010 194560020 228067579 456135158 684202737 912270316 1140337895 1368405474 2052608211 2280675790 2736810948 3421013685 4105216422 4561351580 6842027370 8210432844 10263041055 13684054740 20526082110 41052164220