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30006371016 = 233217199123191
BaseRepresentation
bin11011111100100001…
…001110001011001000
32212110012021120202200
4123330201032023020
5442423112333031
621441300400200
72111404642146
oct337441161310
985405246680
1030006371016
11117a88a5736
1259950a6060
132aa27b5c2b
141649226596
15ba94868e6
hex6fc84e2c8

30006371016 has 96 divisors (see below), whose sum is σ = 86480784000. Its totient is φ = 9366382080.

The previous prime is 30006370969. The next prime is 30006371023. The reversal of 30006371016 is 61017360003.

30006371016 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 637 + 10 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181981 + ... + 305171.

It is an arithmetic number, because the mean of its divisors is an integer number (900841500).

Almost surely, 230006371016 is an apocalyptic number.

30006371016 is a gapful number since it is divisible by the number (36) 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 30006371016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43240392000).

30006371016 is an abundant number, since it is smaller than the sum of its proper divisors (56474412984).

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

30006371016 is a wasteful number, since it uses less digits than its factorization.

30006371016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123419 (or 123412 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 30006371016 in words is "thirty billion, six million, three hundred seventy-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 199 204 306 398 408 597 612 796 1194 1224 1592 1791 2388 3383 3582 4776 6766 7164 10149 13532 14328 20298 27064 30447 40596 60894 81192 121788 123191 243576 246382 369573 492764 739146 985528 1108719 1478292 2094247 2217438 2956584 4188494 4434876 6282741 8376988 8869752 12565482 16753976 18848223 24515009 25130964 37696446 49030018 50261928 73545027 75392892 98060036 147090054 150785784 196120072 220635081 294180108 416755153 441270162 588360216 833510306 882540324 1250265459 1667020612 1765080648 2500530918 3334041224 3750796377 5001061836 7501592754 10002123672 15003185508 30006371016