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13025545104 = 24311132382507
BaseRepresentation
bin11000010000110001…
…00000101110010000
31020121202212020202110
430020120200232100
5203134014420404
65552302345320
7640533210105
oct141030405620
936552766673
1013025545104
115584642910
12263628b240
1312c7777050
148b7cd8aac
155137eab89
hex308620b90

13025545104 has 160 divisors (see below), whose sum is σ = 41251359744. Its totient is φ = 3485053440.

The previous prime is 13025545087. The next prime is 13025545121. The reversal of 13025545104 is 40154552031.

It is an interprime number because it is at equal distance from previous prime (13025545087) and next prime (13025545121).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 116619 + ... + 199125.

Almost surely, 213025545104 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 13025545104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20625679872).

13025545104 is an abundant number, since it is smaller than the sum of its proper divisors (28225814640).

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

13025545104 is a wasteful number, since it uses less digits than its factorization.

13025545104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82565 (or 82559 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 13025545104 in words is "thirteen billion, twenty-five million, five hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 23 24 26 33 39 44 46 48 52 66 69 78 88 92 104 132 138 143 156 176 184 208 253 264 276 286 299 312 368 429 506 528 552 572 598 624 759 858 897 1012 1104 1144 1196 1518 1716 1794 2024 2288 2392 3036 3289 3432 3588 4048 4784 6072 6578 6864 7176 9867 12144 13156 14352 19734 26312 39468 52624 78936 82507 157872 165014 247521 330028 495042 660056 907577 990084 1072591 1320112 1815154 1897661 1980168 2145182 2722731 3217773 3630308 3795322 3960336 4290364 5445462 5692983 6435546 7260616 7590644 8580728 10890924 11385966 11798501 12871092 14521232 15181288 17161456 20874271 21781848 22771932 23597002 24669593 25742184 30362576 35395503 41748542 43563696 45543864 47194004 49339186 51484368 62622813 70791006 74008779 83497084 91087728 94388008 98678372 125245626 141582012 148017558 166994168 188776016 197356744 250491252 271365523 283164024 296035116 333988336 394713488 500982504 542731046 566328048 592070232 814096569 1001965008 1085462092 1184140464 1628193138 2170924184 3256386276 4341848368 6512772552 13025545104