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13025134592 = 211311931063
BaseRepresentation
bin11000010000101101…
…11100100000000000
31020121202002101122022
430020112330200000
5203133413301332
65552245501012
7640526550221
oct141026744000
936552071568
1013025134592
115584392448
122636111768
1312c7662242
148b7c2d248
15513769212
hex3085bc800

13025134592 has 96 divisors (see below), whose sum is σ = 27048752640. Its totient is φ = 6263930880.

The previous prime is 13025134589. The next prime is 13025134597. The reversal of 13025134592 is 29543152031.

It is a super-2 number, since 2×130251345922 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13025134597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12252653 + ... + 12253715.

It is an arithmetic number, because the mean of its divisors is an integer number (281757840).

Almost surely, 213025134592 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 13025134592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13524376320).

13025134592 is an abundant number, since it is smaller than the sum of its proper divisors (14023618048).

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

13025134592 is a wasteful number, since it uses less digits than its factorization.

13025134592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 13025134592 in words is "thirteen billion, twenty-five million, one hundred thirty-four thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 193 248 256 386 496 512 772 992 1024 1063 1544 1984 2048 2126 3088 3968 4252 5983 6176 7936 8504 11966 12352 15872 17008 23932 24704 31744 32953 34016 47864 49408 63488 65906 68032 95728 98816 131812 136064 191456 197632 205159 263624 272128 382912 395264 410318 527248 544256 765824 820636 1054496 1088512 1531648 1641272 2108992 2177024 3063296 3282544 4217984 6126592 6359929 6565088 8435968 12253184 12719858 13130176 16871936 25439716 26260352 33743872 50879432 52520704 67487744 101758864 105041408 203517728 210082816 407035456 420165632 814070912 1628141824 3256283648 6512567296 13025134592