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13030964573328 = 24321316741682547
BaseRepresentation
bin1011110110100000001000…
…0000111011010010010000
31201010202012022210211111200
42331220002000323102100
53201444403412321303
643414201550511200
72513312310211362
oct275500200732220
951122168724450
1013030964573328
11417444586aa69
1215655a3805500
13736a78b35660
143309b85d8d32
15178e72ce53a3
hexbda0203b490

13030964573328 has 120 divisors (see below), whose sum is σ = 39509053217088. Its totient is φ = 3985518318336.

The previous prime is 13030964573203. The next prime is 13030964573423. The reversal of 13030964573328 is 82337546903031.

13030964573328 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 0 + 9 + 64 + 573 + 3 + 2 + 8 = 666.

It is a super-2 number, since 2×130309645733282 (a number of 27 digits) contains 22 as substring.

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, 20528650 + ... + 21153897.

It is a 1-persistent number, because it is pandigital, but 2⋅13030964573328 = 26061929146656 is not.

Almost surely, 213030964573328 is an apocalyptic number.

13030964573328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13030964573328 is an abundant number, since it is smaller than the sum of its proper divisors (26478088643760).

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

13030964573328 is a wasteful number, since it uses less digits than its factorization.

13030964573328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41682741 (or 41682732 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 13030964573328 in words is "thirteen trillion, thirty billion, nine hundred sixty-four million, five hundred seventy-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 167 208 234 312 334 468 501 624 668 936 1002 1336 1503 1872 2004 2171 2672 3006 4008 4342 6012 6513 8016 8684 12024 13026 17368 19539 24048 26052 34736 39078 52104 78156 104208 156312 312624 41682547 83365094 125047641 166730188 250095282 333460376 375142923 500190564 541873111 666920752 750285846 1000381128 1083746222 1500571692 1625619333 2000762256 2167492444 3001143384 3251238666 4334984888 4876857999 6002286768 6502477332 6960985349 8669969776 9753715998 13004954664 13921970698 19507431996 20882956047 26009909328 27843941396 39014863992 41765912094 55687882792 62648868141 78029727984 83531824188 90492809537 111375765584 125297736282 167063648376 180985619074 250595472564 271478428611 334127296752 361971238148 501190945128 542956857222 723942476296 814435285833 1002381890256 1085913714444 1447884952592 1628870571666 2171827428888 3257741143332 4343654857776 6515482286664 13030964573328