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30208629060 = 223251729393359
BaseRepresentation
bin11100001000100100…
…110001100101000100
32212222021212100122100
4130020210301211010
5443331402112220
621513323432100
72116412052561
oct341044614504
985867770570
1030208629060
11118a1a90145
125a30985630
132b05680c4c
141668035868
15bbc0d9d90
hex708931944

30208629060 has 144 divisors (see below), whose sum is σ = 97084915200. Its totient is φ = 7576937472.

The previous prime is 30208629053. The next prime is 30208629097. The reversal of 30208629060 is 6092680203.

30208629060 is a `hidden beast` number, since 3 + 0 + 20 + 8 + 629 + 0 + 6 + 0 = 666.

It is a super-2 number, since 2×302086290602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8991661 + ... + 8995019.

It is an arithmetic number, because the mean of its divisors is an integer number (674200800).

Almost surely, 230208629060 is an apocalyptic number.

30208629060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30208629060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48542457600).

30208629060 is an abundant number, since it is smaller than the sum of its proper divisors (66876286140).

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

30208629060 is a wasteful number, since it uses less digits than its factorization.

30208629060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6330 (or 6325 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 30208629060 in words is "thirty billion, two hundred eight million, six hundred twenty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 2939 3060 3359 5878 6718 8817 10077 11756 13436 14695 16795 17634 20154 26451 29390 30231 33590 35268 40308 44085 49963 50385 52902 57103 58780 60462 67180 88170 99926 100770 105804 114206 120924 132255 149889 151155 171309 176340 199852 201540 228412 249815 264510 285515 299778 302310 342618 449667 499630 513927 529020 571030 599556 604620 685236 749445 856545 899334 999260 1027854 1142060 1498890 1713090 1798668 2055708 2248335 2569635 2997780 3426180 4496670 5139270 8993340 9872101 10278540 19744202 29616303 39488404 49360505 59232606 88848909 98721010 118465212 148081515 167825717 177697818 197442020 296163030 335651434 355395636 444244545 503477151 592326060 671302868 839128585 888489090 1006954302 1510431453 1678257170 1776978180 2013908604 2517385755 3020862906 3356514340 5034771510 6041725812 7552157265 10069543020 15104314530 30208629060