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21516916218 = 23717714191013
BaseRepresentation
bin10100000010100000…
…100001010111111010
32001112112212121002220
4110002200201113322
5323031312304333
613515034104510
71361131525110
oct240240412772
961475777086
1021516916218
119141813696
124205b7b136
13204ba407b5
14108194dab0
1585e0078b3
hex5028215fa

21516916218 has 128 divisors (see below), whose sum is σ = 52986286080. Its totient is φ = 5685335040.

The previous prime is 21516916181. The next prime is 21516916247. The reversal of 21516916218 is 81261961512.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 21516916218.

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, 21240280 + ... + 21241292.

It is an arithmetic number, because the mean of its divisors is an integer number (413955360).

Almost surely, 221516916218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21516916218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26493143040).

21516916218 is an abundant number, since it is smaller than the sum of its proper divisors (31469369862).

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

21516916218 is a wasteful number, since it uses less digits than its factorization.

21516916218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532.

The product of its digits is 51840, while the sum is 42.

The spelling of 21516916218 in words is "twenty-one billion, five hundred sixteen million, nine hundred sixteen thousand, two hundred eighteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 71 102 119 142 213 238 357 419 426 497 714 838 994 1013 1207 1257 1491 2026 2414 2514 2933 2982 3039 3621 5866 6078 7091 7123 7242 8449 8799 14182 14246 16898 17221 17598 21273 21369 25347 29749 34442 42546 42738 49861 50694 51663 59498 71923 89247 99722 103326 120547 143846 149583 178494 208243 215769 241094 299166 361641 416486 424447 431538 503461 505733 624729 723282 848894 1006922 1011466 1222691 1249458 1273341 1510383 1517199 2445382 2546682 2971129 3020766 3034398 3540131 3668073 5942258 7080262 7215599 7336146 8558837 8913387 10620393 14431198 17117674 17826774 21240786 21646797 25676511 30135737 43293594 50509193 51353022 60271474 90407211 101018386 151527579 180814422 210950159 303055158 421900318 512307529 632850477 1024615058 1265700954 1536922587 3073845174 3586152703 7172305406 10758458109 21516916218