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20705383214424 = 23324745831335067
BaseRepresentation
bin1001011010100110110010…
…00000101110110101011000
32201022102012202102112022200
410231103121000232311120
510203214111100330144
6112011531032250200
74234625461304046
oct455233100566530
981272182375280
1020705383214424
116663116044377
1223a4a12b40960
13b72680ac484c
14518208499396
1525d8db83ec69
hex12d4d902ed58

20705383214424 has 96 divisors (see below), whose sum is σ = 57282748024320. Its totient is φ = 6753468742848.

The previous prime is 20705383214419. The next prime is 20705383214431. The reversal of 20705383214424 is 42441238350702.

20705383214424 is a `hidden beast` number, since 2 + 0 + 7 + 0 + 5 + 3 + 8 + 3 + 214 + 424 = 666.

It is a super-2 number, since 2×207053832144242 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20705383214424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14841339 + ... + 16176405.

It is an arithmetic number, because the mean of its divisors is an integer number (596695291920).

Almost surely, 220705383214424 is an apocalyptic number.

20705383214424 is a gapful number since it is divisible by the number (24) 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 20705383214424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28641374012160).

20705383214424 is an abundant number, since it is smaller than the sum of its proper divisors (36577364809896).

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

20705383214424 is a wasteful number, since it uses less digits than its factorization.

20705383214424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339709 (or 1339702 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 20705383214424 in words is "twenty trillion, seven hundred five billion, three hundred eighty-three million, two hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 4583 9166 13749 18332 27498 36664 41247 54996 82494 109992 164988 215401 329976 430802 646203 861604 1292406 1335067 1723208 1938609 2584812 2670134 3877218 4005201 5169624 5340268 7754436 8010402 10680536 12015603 15508872 16020804 24031206 32041608 48062412 62748149 96124824 125496298 188244447 250992596 376488894 501985192 564733341 752977788 1129466682 1505955576 2258933364 4517866728 6118612061 12237224122 18355836183 24474448244 36711672366 48948896488 55067508549 73423344732 110135017098 146846689464 220270034196 287574766867 440540068392 575149533734 862724300601 1150299067468 1725448601202 2300598134936 2588172901803 3450897202404 5176345803606 6901794404808 10352691607212 20705383214424