Search a number
-
+
30166347624 = 23374318123071
BaseRepresentation
bin11100000110000011…
…011110111101101000
32212212100022020102020
4130012003132331220
5443240041110444
621505213304440
72115356503230
oct340603367550
985770266366
1030166347624
1111880131506
125a1a795120
132ac9998b4a
14166258acc0
15bb8537119
hex7060def68

30166347624 has 128 divisors (see below), whose sum is σ = 88685076480. Its totient is φ = 8371641600.

The previous prime is 30166347587. The next prime is 30166347637. The reversal of 30166347624 is 42674366103.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1296009 + ... + 1319079.

It is an arithmetic number, because the mean of its divisors is an integer number (692852160).

Almost surely, 230166347624 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 30166347624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44342538240).

30166347624 is an abundant number, since it is smaller than the sum of its proper divisors (58518728856).

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

30166347624 is a wasteful number, since it uses less digits than its factorization.

30166347624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23311 (or 23307 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 30166347624 in words is "thirty billion, one hundred sixty-six million, three hundred forty-seven thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 181 258 301 344 362 516 543 602 724 903 1032 1086 1204 1267 1448 1806 2172 2408 2534 3612 3801 4344 5068 7224 7602 7783 10136 15204 15566 23071 23349 30408 31132 46142 46698 54481 62264 69213 92284 93396 108962 138426 161497 163443 184568 186792 217924 276852 322994 326886 435848 484491 553704 645988 653772 968982 992053 1291976 1307544 1937964 1984106 2976159 3875928 3968212 4175851 5952318 6944371 7936424 8351702 11904636 12527553 13888742 16703404 20833113 23809272 25055106 27777484 29230957 33406808 41666226 50110212 55554968 58461914 83332452 87692871 100220424 116923828 166664904 175385742 179561593 233847656 350771484 359123186 538684779 701542968 718246372 1077369558 1256931151 1436492744 2154739116 2513862302 3770793453 4309478232 5027724604 7541586906 10055449208 15083173812 30166347624