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13054721760 = 2532518234973
BaseRepresentation
bin11000010100001111…
…10011111011100000
31020200210202120121100
430022013303323200
5203214002044020
65555223554400
7641336206203
oct141207637340
936623676540
1013054721760
11559a060753
122643bbba00
131300821342
148bbb3193a
15516160a90
hex30a1f3ee0

13054721760 has 144 divisors (see below), whose sum is σ = 44582638464. Its totient is φ = 3478649856.

The previous prime is 13054721759. The next prime is 13054721773. The reversal of 13054721760 is 6712745031.

It is a happy number.

13054721760 is a `hidden beast` number, since 1 + 30 + 547 + 21 + 7 + 60 = 666.

13054721760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2622634 + ... + 2627606.

It is an arithmetic number, because the mean of its divisors is an integer number (309601656).

Almost surely, 213054721760 is an apocalyptic number.

13054721760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13054721760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22291319232).

13054721760 is an abundant number, since it is smaller than the sum of its proper divisors (31527916704).

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

13054721760 is a wasteful number, since it uses less digits than its factorization.

13054721760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6817 (or 6806 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 13054721760 in words is "thirteen billion, fifty-four million, seven hundred twenty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1823 3646 4973 5469 7292 9115 9946 10938 14584 14919 16407 18230 19892 21876 24865 27345 29168 29838 32814 36460 39784 43752 44757 49730 54690 58336 59676 65628 72920 74595 79568 82035 87504 89514 99460 109380 119352 131256 145840 149190 159136 164070 175008 179028 198920 218760 223785 238704 262512 291680 298380 328140 358056 397840 437520 447570 477408 525024 596760 656280 716112 795680 875040 895140 1193520 1312560 1432224 1790280 2387040 2625120 3580560 7161120 9065779 18131558 27197337 36263116 45328895 54394674 72526232 81592011 90657790 108789348 135986685 145052464 163184022 181315580 217578696 271973370 290104928 326368044 362631160 407960055 435157392 543946740 652736088 725262320 815920110 870314784 1087893480 1305472176 1450524640 1631840220 2175786960 2610944352 3263680440 4351573920 6527360880 13054721760