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13003755744 = 253719350827
BaseRepresentation
bin11000001110001010…
…11001000011100000
31020120020212020101010
430013011121003200
5203112430140434
65550203340520
7640150046220
oct140705310340
936506766333
1013003755744
115573310181
12262ab21740
1312c30b8335
148b5066080
155119449e9
hex3071590e0

13003755744 has 48 divisors (see below), whose sum is σ = 39011269248. Its totient is φ = 3715358592.

The previous prime is 13003755733. The next prime is 13003755763. The reversal of 13003755744 is 44755730031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×130037557442 (a number of 21 digits) contains 22 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, 9674742 + ... + 9676085.

It is an arithmetic number, because the mean of its divisors is an integer number (812734776).

Almost surely, 213003755744 is an apocalyptic number.

13003755744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13003755744 is an abundant number, since it is smaller than the sum of its proper divisors (26007513504).

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

13003755744 is a wasteful number, since it uses less digits than its factorization.

13003755744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19350847 (or 19350839 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The spelling of 13003755744 in words is "thirteen billion, three million, seven hundred fifty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 19350827 38701654 58052481 77403308 116104962 135455789 154806616 232209924 270911578 309613232 406367367 464419848 541823156 619226464 812734734 928839696 1083646312 1625469468 1857679392 2167292624 3250938936 4334585248 6501877872 13003755744