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13047126510 = 235111723101117
BaseRepresentation
bin11000010011010101…
…10101100111101110
31020200021110200212210
430021222311213232
5203210031022020
65554353111250
7641214513465
oct141152654756
936607420783
1013047126510
115595843290
122641558526
1312cc092202
148bab159dc
155156603e0
hex309ab59ee

13047126510 has 128 divisors (see below), whose sum is σ = 37742091264. Its totient is φ = 2847426560.

The previous prime is 13047126497. The next prime is 13047126541. The reversal of 13047126510 is 1562174031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78472 + ... + 179588.

It is an arithmetic number, because the mean of its divisors is an integer number (294860088).

Almost surely, 213047126510 is an apocalyptic number.

13047126510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13047126510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18871045632).

13047126510 is an abundant number, since it is smaller than the sum of its proper divisors (24694964754).

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

13047126510 is a wasteful number, since it uses less digits than its factorization.

13047126510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101178.

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 13047126510 in words is "thirteen billion, forty-seven million, one hundred twenty-six thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 23 30 33 34 46 51 55 66 69 85 102 110 115 138 165 170 187 230 253 255 330 345 374 391 506 510 561 690 759 782 935 1122 1173 1265 1518 1870 1955 2346 2530 2805 3795 3910 4301 5610 5865 7590 8602 11730 12903 21505 25806 43010 64515 101117 129030 202234 303351 505585 606702 1011170 1112287 1516755 1718989 2224574 2325691 3033510 3336861 3437978 4651382 5156967 5561435 6673722 6977073 8594945 10313934 11122870 11628455 13954146 16684305 17189890 18908879 23256910 25582601 25784835 33368610 34885365 37817758 39536747 51165202 51569670 56726637 69770730 76747803 79073494 94544395 113453274 118610241 127913005 153495606 189088790 197683735 237220482 255826010 283633185 383739015 395367470 434904217 567266370 593051205 767478030 869808434 1186102410 1304712651 2174521085 2609425302 4349042170 6523563255 13047126510