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21284488598334 = 23134371152358687
BaseRepresentation
bin1001101011011101011100…
…11000011101001100111110
32210100202222121101002222220
410311232232120131030332
510242211113040121314
6113133543054350210
74324516316662023
oct465565630351476
983322877332886
1021284488598334
116866778a23605
1224790b01bb366
13bb51709174a0
145382636dd54a
1526d9d212a3a9
hex135bae61d33e

21284488598334 has 128 divisors (see below), whose sum is σ = 47602387058688. Its totient is φ = 6302425691520.

The previous prime is 21284488598327. The next prime is 21284488598357. The reversal of 21284488598334 is 43389588448212.

It is a super-2 number, since 2×212844885983342 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362648739 + ... + 362707425.

It is an arithmetic number, because the mean of its divisors is an integer number (371893648896).

Almost surely, 221284488598334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21284488598334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23801193529344).

21284488598334 is an abundant number, since it is smaller than the sum of its proper divisors (26317898460354).

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

21284488598334 is a wasteful number, since it uses less digits than its factorization.

21284488598334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60342.

The product of its digits is 424673280, while the sum is 69.

The spelling of 21284488598334 in words is "twenty-one trillion, two hundred eighty-four billion, four hundred eighty-eight million, five hundred ninety-eight thousand, three hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 43 71 78 86 129 142 213 258 426 559 923 1118 1523 1677 1846 2769 3046 3053 3354 4569 5538 6106 9138 9159 18318 19799 39598 39689 58687 59397 65489 79378 108133 117374 118794 119067 130978 176061 196467 216266 238134 324399 352122 392934 648798 762931 851357 1405729 1525862 1702714 2288793 2523541 2554071 2811458 4166777 4217187 4577586 4649719 5047082 5108142 7570623 8333554 8434374 9299438 12500331 13949157 15141246 25000662 27898314 32806033 54168101 60446347 65612066 89380301 98418099 108336202 120892694 162504303 178760602 179171411 181339041 196836198 268140903 325008606 358342822 362678082 536281806 537514233 1075028466 1161943913 2323887826 2329228343 3485831739 3843352943 4658456686 6346001371 6971663478 6987685029 7686705886 11530058829 12692002742 13975370058 19038004113 23060117658 38076008226 49963588259 82498017823 99927176518 149890764777 164996035646 247494053469 272878058953 299781529554 494988106938 545756117906 818634176859 1637268353718 3547414766389 7094829532778 10642244299167 21284488598334