Search a number
-
+
30195380616 = 23331373113527
BaseRepresentation
bin11100000111110010…
…001111000110001000
32212221100221021012020
4130013302033012020
5443320004134431
621512131444440
72116161333432
oct340762170610
985840837166
1030195380616
1111895561415
125a28456720
132b029c292b
141666387652
15bbad6e696
hex707c8f188

30195380616 has 128 divisors (see below), whose sum is σ = 80309698560. Its totient is φ = 9444038400.

The previous prime is 30195380573. The next prime is 30195380627. The reversal of 30195380616 is 61608359103.

It is a happy number.

It is a super-2 number, since 2×301953806162 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8559445 + ... + 8562971.

It is an arithmetic number, because the mean of its divisors is an integer number (627419520).

Almost surely, 230195380616 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 30195380616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40154849280).

30195380616 is an abundant number, since it is smaller than the sum of its proper divisors (50114317944).

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

30195380616 is a wasteful number, since it uses less digits than its factorization.

30195380616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915 (or 3911 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 30195380616 in words is "thirty billion, one hundred ninety-five million, three hundred eighty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 31 37 62 74 93 111 124 148 186 222 248 296 311 372 444 622 744 888 933 1147 1244 1866 2294 2488 3441 3527 3732 4588 6882 7054 7464 9176 9641 10581 11507 13764 14108 19282 21162 23014 27528 28216 28923 34521 38564 42324 46028 57846 69042 77128 84648 92056 109337 115692 130499 138084 218674 231384 260998 276168 328011 356717 391497 437348 521996 656022 713434 782994 874696 1043992 1070151 1096897 1312044 1426868 1565988 2140302 2193794 2624088 2853736 3131976 3290691 4045469 4280604 4387588 6581382 8090938 8561208 8775176 12136407 13162764 16181876 24272814 26325528 32363752 34003807 40585189 48545628 68007614 81170378 97091256 102011421 121755567 136015228 162340756 204022842 243511134 272030456 324681512 408045684 487022268 816091368 974044536 1258140859 2516281718 3774422577 5032563436 7548845154 10065126872 15097690308 30195380616