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41766460242 = 231322310317387
BaseRepresentation
bin100110111001011110…
…011001101101010010
310222210202222000101220
4212321132121231102
51141014203211432
631104240105510
73006004024443
oct467136315522
9128722860356
1041766460242
1116793094841
128117605296
133c2802b400
1420430332ca
151146b1772c
hex9b9799b52

41766460242 has 96 divisors (see below), whose sum is σ = 95307383808. Its totient is φ = 12172425408.

The previous prime is 41766460237. The next prime is 41766460283. The reversal of 41766460242 is 24206466714.

It is a super-2 number, since 2×417664602422 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41766460194 and 41766460203.

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, 2393473 + ... + 2410859.

It is an arithmetic number, because the mean of its divisors is an integer number (992785248).

Almost surely, 241766460242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41766460242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47653691904).

41766460242 is an abundant number, since it is smaller than the sum of its proper divisors (53540923566).

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

41766460242 is a wasteful number, since it uses less digits than its factorization.

41766460242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17544 (or 17531 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 41766460242 in words is "forty-one billion, seven hundred sixty-six million, four hundred sixty thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 103 138 169 206 299 309 338 507 598 618 897 1014 1339 1794 2369 2678 3887 4017 4738 7107 7774 8034 11661 14214 17387 17407 23322 30797 34774 34814 52161 52221 61594 92391 104322 104442 184782 226031 399901 400361 452062 678093 799802 800722 1199703 1201083 1356186 1790861 2399406 2402166 2938403 3581722 5198713 5372583 5876806 8815209 10397426 10745166 15596139 17630418 23281193 31192278 41189803 46562386 67583269 69843579 82379606 123569409 135166538 139687158 202749807 247138818 302655509 405499614 535467439 605311018 907966527 1070934878 1606402317 1815933054 3212804634 6961076707 13922153414 20883230121 41766460242