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30544224256 = 21371340973
BaseRepresentation
bin11100011100100100…
…111110000000000000
32220211200100100201001
4130130210332000000
51000023310134011
622010512421344
72130625423330
oct343444760000
986750310631
1030544224256
1111a54466847
125b05247854
132b5a0626a0
14169a8330c0
15bdb7ca7c1
hex71c93e000

30544224256 has 112 divisors (see below), whose sum is σ = 75183028704. Its totient is φ = 12083134464.

The previous prime is 30544224229. The next prime is 30544224299. The reversal of 30544224256 is 65242244503.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×305442242563 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 724986 + ... + 765958.

It is an arithmetic number, because the mean of its divisors is an integer number (671277042).

Almost surely, 230544224256 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 30544224256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37591514352).

30544224256 is an abundant number, since it is smaller than the sum of its proper divisors (44638804448).

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

30544224256 is an equidigital number, since it uses as much as digits as its factorization.

30544224256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41019 (or 40995 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

Adding to 30544224256 its reverse (65242244503), we get a palindrome (95786468759).

The spelling of 30544224256 in words is "thirty billion, five hundred forty-four million, two hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1456 1664 1792 2048 2912 3328 3584 4096 5824 6656 7168 8192 11648 13312 14336 23296 26624 28672 40973 46592 53248 57344 81946 93184 106496 163892 186368 286811 327784 372736 532649 573622 655568 745472 1065298 1147244 1311136 2130596 2294488 2622272 3728543 4261192 4588976 5244544 7457086 8522384 9177952 10489088 14914172 17044768 18355904 20978176 29828344 34089536 36711808 41956352 59656688 68179072 73423616 83912704 119313376 136358144 146847232 167825408 238626752 272716288 293694464 335650816 477253504 545432576 587388928 954507008 1090865152 1174777856 1909014016 2181730304 2349555712 3818028032 4363460608 7636056064 15272112128 30544224256