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13430277465048 = 23322316748563299
BaseRepresentation
bin1100001101101111101011…
…1010101110001111011000
31202112220220010110111010200
43003123322322232033120
53230020202012340143
644321441223542200
72554206536613303
oct303337272561730
952486803414120
1013430277465048
114308826558784
12160aa648ba960
13765614cc9442
1434605941bb3a
151845442161d3
hexc36faeae3d8

13430277465048 has 96 divisors (see below), whose sum is σ = 38182408992000. Its totient is φ = 4256475943104.

The previous prime is 13430277465043. The next prime is 13430277465049. The reversal of 13430277465048 is 84056477203431.

13430277465048 is a `hidden beast` number, since 1 + 3 + 43 + 0 + 27 + 74 + 6 + 504 + 8 = 666.

It is a super-2 number, since 2×134302774650482 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13430277464985 and 13430277465003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13430277465043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24005098 + ... + 24558201.

It is an arithmetic number, because the mean of its divisors is an integer number (397733427000).

Almost surely, 213430277465048 is an apocalyptic number.

13430277465048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13430277465048 is an abundant number, since it is smaller than the sum of its proper divisors (24752131526952).

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

13430277465048 is a wasteful number, since it uses less digits than its factorization.

13430277465048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48563501 (or 48563494 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 13430277465048 in words is "thirteen trillion, four hundred thirty billion, two hundred seventy-seven million, four hundred sixty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 167 184 207 276 334 414 501 552 668 828 1002 1336 1503 1656 2004 3006 3841 4008 6012 7682 11523 12024 15364 23046 30728 34569 46092 69138 92184 138276 276552 48563299 97126598 145689897 194253196 291379794 388506392 437069691 582759588 874139382 1116955877 1165519176 1748278764 2233911754 3350867631 3496557528 4467823508 6701735262 8110070933 8935647016 10052602893 13403470524 16220141866 20105205786 24330212799 26806941048 32440283732 40210411572 48660425598 64880567464 72990638397 80420823144 97320851196 145981276794 186531631459 194641702392 291962553588 373063262918 559594894377 583925107176 746126525836 1119189788754 1492253051672 1678784683131 2238379577508 3357569366262 4476759155016 6715138732524 13430277465048