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557768711016 = 233311832828327
BaseRepresentation
bin10000001110111011001…
…10110001101101101000
31222022200212020021221000
420013131212301231220
533114302242223031
61104122503115000
755204012550346
oct10073546615550
91868625207830
10557768711016
111a5603995080
1290123742a60
134079c53ca0a
141cdd3612996
15e7975383e6
hex81dd9b1b68

557768711016 has 128 divisors (see below), whose sum is σ = 1710572774400. Its totient is φ = 166984367040.

The previous prime is 557768710997. The next prime is 557768711083. The reversal of 557768711016 is 610117867755.

557768711016 is a `hidden beast` number, since 5 + 577 + 68 + 7 + 1 + 1 + 0 + 1 + 6 = 666.

557768711016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5577687110162 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1216956 + ... + 1611371.

It is an arithmetic number, because the mean of its divisors is an integer number (13363849800).

Almost surely, 2557768711016 is an apocalyptic number.

It is an amenable number.

557768711016 is an abundant number, since it is smaller than the sum of its proper divisors (1152804063384).

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

557768711016 is a wasteful number, since it uses less digits than its factorization.

557768711016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828436 (or 2828426 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 54.

The spelling of 557768711016 in words is "five hundred fifty-seven billion, seven hundred sixty-eight million, seven hundred eleven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 83 88 99 108 132 166 198 216 249 264 297 332 396 498 594 664 747 792 913 996 1188 1494 1826 1992 2241 2376 2739 2988 3652 4482 5478 5976 7304 8217 8964 10956 16434 17928 21912 24651 32868 49302 65736 98604 197208 2828327 5656654 8484981 11313308 16969962 22626616 25454943 31111597 33939924 50909886 62223194 67879848 76364829 93334791 101819772 124446388 152729658 186669582 203639544 234751141 248892776 280004373 305459316 373339164 469502282 560008746 610918632 704253423 746678328 840013119 939004564 1120017492 1408506846 1680026238 1878009128 2112760269 2240034984 2582262551 2817013692 3360052476 4225520538 5164525102 5634027384 6338280807 6720104952 7746787653 8451041076 10329050204 12676561614 15493575306 16902082152 20658100408 23240362959 25353123228 30987150612 46480725918 50706246456 61974301224 69721088877 92961451836 139442177754 185922903672 278884355508 557768711016