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57041201889 = 34721722232
BaseRepresentation
bin110101000111111010…
…111010101011100001
312110020022002021210000
4311013322322223201
51413310021430024
642112050530213
74056351134100
oct650772725341
9173208067700
1057041201889
11222112a9271
12b07ab96969
1354c0770589
142a91934037
15173caebcc9
hexd47ebaae1

57041201889 has 135 divisors (see below), whose sum is σ = 105769433187. Its totient is φ = 30540053376.

The previous prime is 57041201887. The next prime is 57041201933. The reversal of 57041201889 is 98810214075.

The square root of 57041201889 is 238833.

It is a perfect power (a square), and thus also a powerful number.

57041201889 is a `hidden beast` number, since 57 + 0 + 412 + 0 + 188 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44409240225 + 12631961664 = 210735^2 + 112392^2 .

It is not a de Polignac number, because 57041201889 - 21 = 57041201887 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57041201887) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 255790032 + ... + 255790254.

Almost surely, 257041201889 is an apocalyptic number.

57041201889 is the 238833-rd square number.

57041201889 is the 119417-th centered octagonal number.

It is an amenable number.

57041201889 is a deficient number, since it is larger than the sum of its proper divisors (48728231298).

57041201889 is an equidigital number, since it uses as much as digits as its factorization.

57041201889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 57041201889 in words is "fifty-seven billion, forty-one million, two hundred one thousand, eight hundred eighty-nine".

Divisors: 1 3 7 9 17 21 27 49 51 63 81 119 147 153 189 223 289 357 441 459 567 669 833 867 1071 1323 1377 1561 2007 2023 2499 2601 3213 3791 3969 4683 6021 6069 7497 7803 9639 10927 11373 14049 14161 18063 18207 22491 23409 26537 32781 34119 42147 42483 49729 54621 64447 67473 79611 98343 102357 126441 127449 149187 163863 185759 193341 238833 295029 307071 348103 382347 447561 451129 557277 580023 716499 845393 885087 1044309 1147041 1342683 1353387 1671831 1740069 2149497 2436721 2536179 3132927 3157903 4028049 4060161 5015493 5220207 5917751 7310163 7608537 9398781 9473709 12180483 14371681 15046479 17753253 21930489 22825611 28196343 28421127 36541449 41424257 43115043 53259759 65791467 68476833 85263381 100601767 124272771 129345129 159779277 197374401 255790143 301805301 372818313 388035387 479337831 704212369 905415903 1118454939 1164106161 2112637107 2716247709 3355364817 6337911321 8148743127 19013733963 57041201889