Search a number
-
+
422418570366 = 2313173725913323
BaseRepresentation
bin1100010010110100001…
…10111101110001111110
31111101100002001202001210
412021122012331301332
523410103123222431
6522020103545250
742342632414322
oct6113206756176
91441302052053
10422418570366
111531682a8101
1269a4b15b226
1330aac1043b0
141663377d982
15aec4b57d46
hex625a1bdc7e

422418570366 has 128 divisors (see below), whose sum is σ = 990059728896. Its totient is φ = 118941419520.

The previous prime is 422418570341. The next prime is 422418570367. The reversal of 422418570366 is 663075814224.

It is a super-3 number, since 3×4224185703663 (a number of 36 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422418570367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127117981 + ... + 127121303.

It is an arithmetic number, because the mean of its divisors is an integer number (7734841632).

Almost surely, 2422418570366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422418570366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495029864448).

422418570366 is an abundant number, since it is smaller than the sum of its proper divisors (567641158530).

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

422418570366 is a wasteful number, since it uses less digits than its factorization.

422418570366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5986.

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 422418570366 in words is "four hundred twenty-two billion, four hundred eighteen million, five hundred seventy thousand, three hundred sixty-six".

Divisors: 1 2 3 6 13 17 26 34 37 39 51 74 78 102 111 221 222 442 481 629 663 962 1258 1326 1443 1887 2591 2886 3323 3774 5182 6646 7773 8177 9969 15546 16354 19938 24531 33683 43199 44047 49062 56491 67366 86398 88094 95867 101049 112982 122951 129597 132141 169473 191734 202098 245902 259194 264282 287601 338946 368853 572611 575202 734383 737706 1145222 1246271 1468766 1598363 1629739 1717833 2090167 2203149 2492542 3196726 3259478 3435666 3738813 4180334 4406298 4795089 4889217 6270501 7477626 8609893 9590178 9778434 12541002 17219786 21186607 25829679 27172171 42373214 51659358 54344342 63559821 81516513 111928609 127119642 146368181 163033026 223857218 292736362 318566041 335785827 439104543 637132082 671571654 878209086 955698123 1902786353 1911396246 3805572706 4141358533 5415622697 5708359059 8282717066 10831245394 11416718118 12424075599 16246868091 24848151198 32493736182 70403095061 140806190122 211209285183 422418570366