Search a number
-
+
30365461616022 = 232134310492876869
BaseRepresentation
bin1101110011110000000101…
…00011011001010110010110
310222111220120020012102200100
412321320002203121112112
512440001431133203042
6144325411145554530
76252555306023211
oct671700243312626
9128456506172610
1030365461616022
119747a13502365
1234a50437a5a46
1313c35b238c8a0
1476d9a6486778
15379d1e42724c
hex1b9e028d9596

30365461616022 has 96 divisors (see below), whose sum is σ = 72569621124000. Its totient is φ = 9117231975936.

The previous prime is 30365461615997. The next prime is 30365461616057. The reversal of 30365461616022 is 22061616456303.

30365461616022 is a `hidden beast` number, since 3 + 0 + 3 + 6 + 5 + 4 + 6 + 1 + 616 + 0 + 22 = 666.

It is a super-2 number, since 2×303654616160222 (a number of 28 digits) contains 22 as substring.

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, 9116604 + ... + 11993472.

It is an arithmetic number, because the mean of its divisors is an integer number (755933553375).

Almost surely, 230365461616022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30365461616022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36284810562000).

30365461616022 is an abundant number, since it is smaller than the sum of its proper divisors (42204159507978).

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

30365461616022 is a wasteful number, since it uses less digits than its factorization.

30365461616022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877982 (or 2877979 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 30365461616022 in words is "thirty trillion, three hundred sixty-five billion, four hundred sixty-one million, six hundred sixteen thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 234 258 387 559 774 1049 1118 1677 2098 3147 3354 5031 6294 9441 10062 13637 18882 27274 40911 45107 81822 90214 122733 135321 245466 270642 405963 586391 811926 1172782 1759173 2876869 3518346 5277519 5753738 8630607 10555038 17261214 25891821 37399297 51783642 74798594 112197891 123705367 224395782 247410734 336593673 371116101 673187346 742232202 1113348303 1608169771 2226696606 3017835581 3216339542 4824509313 6035671162 9053506743 9649018626 14473527939 18107013486 27160520229 28947055878 39231862553 54321040458 78463725106 117695587659 129766929983 235391175318 259533859966 353086762977 389300789949 706173525954 778601579898 1167902369847 1686970089779 2335804739694 3373940179558 5060910269337 10121820538674 15182730808011 30365461616022