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57188906192 = 24112971157813
BaseRepresentation
bin110101010000101110…
…010111010011010000
312110121121000102222202
4311100232113103100
51414110324444232
642134444422332
74063123452635
oct652056272320
9173547012882
1057188906192
1122287712740
12b1005479a8
135515247582
142aa73c218c
15174aa76162
hexd50b974d0

57188906192 has 80 divisors (see below), whose sum is σ = 126806705280. Its totient is φ = 24744921600.

The previous prime is 57188906191. The next prime is 57188906267. The reversal of 57188906192 is 29160988175.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57188906191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283478 + ... + 441290.

It is an arithmetic number, because the mean of its divisors is an integer number (1585083816).

Almost surely, 257188906192 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 57188906192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63403352640).

57188906192 is an abundant number, since it is smaller than the sum of its proper divisors (69617799088).

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

57188906192 is a wasteful number, since it uses less digits than its factorization.

57188906192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157932 (or 157926 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 56.

The spelling of 57188906192 in words is "fifty-seven billion, one hundred eighty-eight million, nine hundred six thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 29 44 58 71 88 116 142 176 232 284 319 464 568 638 781 1136 1276 1562 2059 2552 3124 4118 5104 6248 8236 12496 16472 22649 32944 45298 90596 157813 181192 315626 362384 631252 1262504 1735943 2525008 3471886 4576577 6943772 9153154 11204723 13887544 18306308 22409446 27775088 36612616 44818892 50342347 73225232 89637784 100684694 123251953 179275568 201369388 246503906 324936967 402738776 493007812 649873934 805477552 986015624 1299747868 1972031248 2599495736 3574306637 5198991472 7148613274 14297226548 28594453096 57188906192