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41520220326 = 233131931100417
BaseRepresentation
bin100110101010110011…
…000100100010100110
310222011121121201202000
4212222303010202212
51140013134022301
631024002230130
72666624023014
oct465263044246
9128147551660
1041520220326
111667709a082
128069055346
133bb9004310
14201c4558b4
1511301c7786
hex9aacc48a6

41520220326 has 128 divisors (see below), whose sum is σ = 107969433600. Its totient is φ = 11712522240.

The previous prime is 41520220267. The next prime is 41520220331. The reversal of 41520220326 is 62302202514.

It is a happy number.

41520220326 is a `hidden beast` number, since 415 + 2 + 0 + 220 + 3 + 26 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 41520220326.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 363270 + ... + 463686.

It is an arithmetic number, because the mean of its divisors is an integer number (843511200).

Almost surely, 241520220326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41520220326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53984716800).

41520220326 is an abundant number, since it is smaller than the sum of its proper divisors (66449213274).

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

41520220326 is a wasteful number, since it uses less digits than its factorization.

41520220326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100491 (or 100485 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 41520220326 in words is "forty-one billion, five hundred twenty million, two hundred twenty thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 19 26 27 31 38 39 54 57 62 78 93 114 117 171 186 234 247 279 342 351 403 494 513 558 589 702 741 806 837 1026 1178 1209 1482 1674 1767 2223 2418 3534 3627 4446 5301 6669 7254 7657 10602 10881 13338 15314 15903 21762 22971 31806 45942 68913 100417 137826 200834 206739 301251 413478 602502 903753 1305421 1807506 1907923 2610842 2711259 3112927 3815846 3916263 5422518 5723769 6225854 7832526 9338781 11447538 11748789 17171307 18677562 23497578 24802999 28016343 34342614 35246367 40468051 49605998 51513921 56032686 59145613 70492734 74408997 80936102 84049029 103027842 118291226 121404153 148817994 168098058 177436839 223226991 242808306 354873678 364212459 446453982 532310517 669680973 728424918 768892969 1064621034 1092637377 1339361946 1537785938 1596931551 2185274754 2306678907 3193863102 4613357814 6920036721 13840073442 20760110163 41520220326