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57124866141 = 347110990847
BaseRepresentation
bin110101001100111010…
…000100100001011101
312110110010111212120000
4311030322010201131
51413442431204031
642124240044513
74061415231150
oct651472044135
9173403455500
1057124866141
1122254552482
12b0a3003739
135504bb4755
142a9cab1c97
1517451263e6
hexd4ce8485d

57124866141 has 40 divisors (see below), whose sum is σ = 97614359040. Its totient is φ = 32612987232.

The previous prime is 57124866107. The next prime is 57124866143. The reversal of 57124866141 is 14166842175.

57124866141 is a `hidden beast` number, since 5 + 7 + 1 + 24 + 8 + 6 + 614 + 1 = 666.

It is not a de Polignac number, because 57124866141 - 26 = 57124866077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57124866143) 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 39 ways as a sum of consecutive naturals, for example, 583380 + ... + 674226.

It is an arithmetic number, because the mean of its divisors is an integer number (2440358976).

Almost surely, 257124866141 is an apocalyptic number.

It is an amenable number.

57124866141 is a deficient number, since it is larger than the sum of its proper divisors (40489492899).

57124866141 is a wasteful number, since it uses less digits than its factorization.

57124866141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91975 (or 91966 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 57124866141 in words is "fifty-seven billion, one hundred twenty-four million, eight hundred sixty-six thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 1109 3327 7763 9981 23289 29943 69867 89829 90847 209601 272541 628803 635929 817623 1907787 2452869 5723361 7358607 17170083 51510249 100749323 302247969 705245261 906743907 2115735783 2720231721 6347207349 8160695163 19041622047 57124866141