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30006004672 = 26767999667
BaseRepresentation
bin11011111100011111…
…110100101111000000
32212110011120222020101
4123330133310233000
5442423014122142
621441244452144
72111401555120
oct337437645700
985404528211
1030006004672
11117a8675476
125994b4a054
132aa26b8267
14164916cc80
15ba94130b7
hex6fc7f4bc0

30006004672 has 56 divisors (see below), whose sum is σ = 69065062784. Its totient is φ = 12667767552.

The previous prime is 30006004667. The next prime is 30006004681. The reversal of 30006004672 is 27640060003.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 30006004672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 469818 + ... + 529849.

Almost surely, 230006004672 is an apocalyptic number.

30006004672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30006004672 is an abundant number, since it is smaller than the sum of its proper divisors (39059058112).

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

30006004672 is an equidigital number, since it uses as much as digits as its factorization.

30006004672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999753 (or 999743 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

Adding to 30006004672 its reverse (27640060003), we get a palindrome (57646064675).

The spelling of 30006004672 in words is "thirty billion, six million, four thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 134 224 268 448 469 536 938 1072 1876 2144 3752 4288 7504 15008 30016 999667 1999334 3998668 6997669 7997336 13995338 15994672 27990676 31989344 55981352 63978688 66977689 111962704 133955378 223925408 267910756 447850816 468843823 535821512 937687646 1071643024 1875375292 2143286048 3750750584 4286572096 7501501168 15003002336 30006004672