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5809660051968 = 29328233153137
BaseRepresentation
bin101010010001010101010…
…1110010100001000000000
3202120101202012100100111100
41110202222232110020000
51230141140433130333
620204530533214400
71136506535436033
oct124425256241000
922511665310440
105809660051968
11193a954707283
12799b4b491400
13331b05484306
14161290a5d01a
15a11c8b21213
hex548aab94200

5809660051968 has 120 divisors (see below), whose sum is σ = 16769218345308. Its totient is φ = 1936305487872.

The previous prime is 5809660051957. The next prime is 5809660052017. The reversal of 5809660051968 is 8691500669085.

5809660051968 is a `hidden beast` number, since 5 + 8 + 0 + 9 + 6 + 600 + 5 + 19 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5608712265984 + 200947785984 = 2368272^2 + 448272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37861096 + ... + 38014232.

Almost surely, 25809660051968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5809660051968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8384609172654).

5809660051968 is an abundant number, since it is smaller than the sum of its proper divisors (10959558293340).

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

5809660051968 is a wasteful number, since it uses less digits than its factorization.

5809660051968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161394 (or 161375 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 5809660051968 in words is "five trillion, eight hundred nine billion, six hundred sixty million, fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 8233 16466 24699 32932 49398 65864 74097 98796 131728 148194 153137 197592 263456 296388 306274 395184 459411 526912 592776 612548 790368 918822 1053824 1185552 1225096 1378233 1580736 1837644 2107648 2371104 2450192 2756466 3161472 3675288 4215296 4742208 4900384 5512932 6322944 7350576 9484416 9800768 11025864 12645888 14701152 18968832 19601536 22051728 29402304 37937664 39203072 44103456 58804608 78406144 88206912 117609216 176413824 235218432 352827648 705655296 1260776921 2521553842 3782330763 5043107684 7564661526 10086215368 11346992289 15129323052 20172430736 22693984578 30258646104 40344861472 45387969156 60517292208 80689722944 90775938312 121034584416 161379445888 181551876624 242069168832 322758891776 363103753248 484138337664 645517783552 726207506496 968276675328 1452415012992 1936553350656 2904830025984 5809660051968