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13005278160 = 2435721105891
BaseRepresentation
bin11000001110010110…
…01100101111010000
31020120100201120201220
430013023030233100
5203113322400120
65550300125040
7640166016600
oct140713145720
936510646656
1013005278160
11557415aa76
12262b536780
1312c34cc284
148b5340c00
15511b45b40
hex3072ccbd0

13005278160 has 120 divisors (see below), whose sum is σ = 46898667936. Its totient is φ = 2972632320.

The previous prime is 13005278129. The next prime is 13005278161. The reversal of 13005278160 is 6187250031.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005278161) 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, 541186 + ... + 564705.

Almost surely, 213005278160 is an apocalyptic number.

13005278160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13005278160 is an abundant number, since it is smaller than the sum of its proper divisors (33893389776).

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

13005278160 is a wasteful number, since it uses less digits than its factorization.

13005278160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105921 (or 1105908 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 13005278160 in words is "thirteen billion, five million, two hundred seventy-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 1105891 2211782 3317673 4423564 5529455 6635346 7741237 8847128 11058910 13270692 15482474 16588365 17694256 22117820 23223711 26541384 30964948 33176730 38706185 44235640 46447422 53082768 54188659 61929896 66353460 77412370 88471280 92894844 108377318 116118555 123859792 132706920 154824740 162565977 185789688 216754636 232237110 265413840 270943295 309649480 325131954 371579376 433509272 464474220 541886590 619298960 650263908 812829885 867018544 928948440 1083773180 1300527816 1625659770 1857896880 2167546360 2601055632 3251319540 4335092720 6502639080 13005278160