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13020084533466 = 23217314253322727
BaseRepresentation
bin1011110101110111100110…
…0000110111100011011010
31201002201010002002112122100
42331131321200313203122
53201310113120032331
643405202205504230
72512445555332503
oct275357140674332
951081102075570
1013020084533466
11416a872316a8a
121563467b72076
13735a33a1ca4a
14330265633baa
15178a37a4eae6
hexbd7798378da

13020084533466 has 96 divisors (see below), whose sum is σ = 30840486663168. Its totient is φ = 3952025141760.

The previous prime is 13020084533453. The next prime is 13020084533527. The reversal of 13020084533466 is 66433548002031.

13020084533466 is a `hidden beast` number, since 1 + 30 + 2 + 0 + 0 + 84 + 533 + 4 + 6 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40182595 + ... + 40505321.

It is an arithmetic number, because the mean of its divisors is an integer number (321255069408).

Almost surely, 213020084533466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13020084533466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15420243331584).

13020084533466 is an abundant number, since it is smaller than the sum of its proper divisors (17820402129702).

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

13020084533466 is a wasteful number, since it uses less digits than its factorization.

13020084533466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327036 (or 327033 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 13020084533466 in words is "thirteen trillion, twenty billion, eighty-four million, five hundred thirty-three thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 1054 1581 3162 4253 4743 8506 9486 12759 25518 38277 72301 76554 131843 144602 216903 263686 322727 395529 433806 645454 650709 791058 968181 1186587 1301418 1936362 2241331 2373174 2904543 4482662 5486359 5809086 6723993 10004537 10972718 13447986 16459077 20009074 20171979 30013611 32918154 40343958 49377231 60027222 90040833 98754462 170077129 180081666 340154258 510231387 1020462774 1372557931 1530694161 2745115862 3061388322 4117673793 8235347586 12353021379 23333484827 24706042758 42549295861 46666969654 70000454481 85098591722 127647887583 140000908962 210001363443 255295775166 382943662749 420002726886 723338029637 765887325498 1446676059274 2170014088911 4340028177822 6510042266733 13020084533466