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57983262141 = 3719312376167
BaseRepresentation
bin110110000000000100…
…100101110110111101
312112122221201220111110
4312000010211312331
51422222203342031
642345342312233
74121610411330
oct660004456675
9175587656443
1057983262141
1122655049062
12b2a2588679
1356109a248c
142b40abc617
151795685c46
hexd80125dbd

57983262141 has 192 divisors, whose sum is σ = 101815388160. Its totient is φ = 28637452800.

The previous prime is 57983262059. The next prime is 57983262191. The reversal of 57983262141 is 14126238975.

It is not a de Polignac number, because 57983262141 - 210 = 57983261117 is a prime.

Its product of digits (725760) is a multiple of the sum of its prime factors (256).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57983262191) 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 191 ways as a sum of consecutive naturals, for example, 865421790 + ... + 865421856.

It is an arithmetic number, because the mean of its divisors is an integer number (530288480).

Almost surely, 257983262141 is an apocalyptic number.

It is an amenable number.

57983262141 is a deficient number, since it is larger than the sum of its proper divisors (43832126019).

57983262141 is a wasteful number, since it uses less digits than its factorization.

57983262141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 225 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The spelling of 57983262141 in words is "fifty-seven billion, nine hundred eighty-three million, two hundred sixty-two thousand, one hundred forty-one".