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557164640461050 = 232522036536079673
BaseRepresentation
bin111111010101111010000000…
…0011110011110000011111010
32201001202102022202202212210100
41332223310000132132003322
51041012041140424223200
65252553522521100230
7225233550122603346
oct17653640036360372
92631672282685710
10557164640461050
11151591219319436
12525a62a6927676
131abb752819482b
149b82cabc00626
1544631e6cd0d00
hex1fabd0079e0fa

557164640461050 has 72 divisors (see below), whose sum is σ = 1496923263914364. Its totient is φ = 148576483457280.

The previous prime is 557164640460997. The next prime is 557164640461063. The reversal of 557164640461050 is 50164046461755.

557164640461050 is a `hidden beast` number, since 5 + 5 + 7 + 16 + 4 + 6 + 4 + 0 + 4 + 610 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 324233646107121 + 232930994353929 = 18006489^2 + 15262077^2 .

It is a super-2 number, since 2×5571646404610502 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88604014 + ... + 94683686.

Almost surely, 2557164640461050 is an apocalyptic number.

557164640461050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

557164640461050 is an abundant number, since it is smaller than the sum of its proper divisors (939758623453314).

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

557164640461050 is a wasteful number, since it uses less digits than its factorization.

557164640461050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6283344 (or 6283336 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 557164640461050 in words is "five hundred fifty-seven trillion, one hundred sixty-four billion, six hundred forty million, four hundred sixty-one thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 203653 407306 610959 1018265 1221918 1832877 2036530 3054795 3665754 5091325 6079673 6109590 9164385 10182650 12159346 15273975 18239019 18328770 30398365 30547950 36478038 45821925 54717057 60796730 91195095 91643850 109434114 151991825 182390190 273585285 303983650 455975475 547170570 911950950 1367926425 2735852850 1238143645469 2476287290938 3714430936407 6190718227345 7428861872814 11143292809221 12381436454690 18572154682035 22286585618442 30953591136725 37144309364070 55716464046105 61907182273450 92860773410175 111432928092210 185721546820350 278582320230525 557164640461050