Search a number
-
+
30080659518 = 23271379232459
BaseRepresentation
bin11100000000111100…
…100111000000111110
32212122101001211102200
4130000330213000332
5443101122101033
621452512532330
72113266246540
oct340074470076
985571054380
1030080659518
1111836825798
1259b5b510a6
132ab4cc6720
141655043690
15bb0c5d013
hex700f2703e

30080659518 has 96 divisors (see below), whose sum is σ = 81230822400. Its totient is φ = 7832904768.

The previous prime is 30080659493. The next prime is 30080659541. The reversal of 30080659518 is 81595608003.

30080659518 is a `hidden beast` number, since 3 + 0 + 0 + 80 + 6 + 59 + 518 = 666.

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, 13173 + ... + 245631.

It is an arithmetic number, because the mean of its divisors is an integer number (846154400).

Almost surely, 230080659518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30080659518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40615411200).

30080659518 is an abundant number, since it is smaller than the sum of its proper divisors (51150162882).

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

30080659518 is a wasteful number, since it uses less digits than its factorization.

30080659518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232566 (or 232563 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 30080659518 in words is "thirty billion, eighty million, six hundred fifty-nine thousand, five hundred eighteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 79 91 117 126 158 182 234 237 273 474 546 553 711 819 1027 1106 1422 1638 1659 2054 3081 3318 4977 6162 7189 9243 9954 14378 18486 21567 43134 64701 129402 232459 464918 697377 1394754 1627213 2092131 3021967 3254426 4184262 4881639 6043934 9065901 9763278 14644917 18131802 18364261 21153769 27197703 29289834 36728522 42307538 54395406 55092783 63461307 110185566 126922614 128549827 165278349 190383921 238735393 257099654 330556698 380767842 385649481 477470786 716206179 771298962 1156948443 1432412358 1671147751 2148618537 2313896886 3342295502 4297237074 5013443253 10026886506 15040329759 30080659518