Search a number
-
+
57124344342175 = 5211409507884813
BaseRepresentation
bin11001111110100010011000…
…10000001010011010011111
321111021000220202221022010121
430333101030100022122133
524441411124122422200
6321254321141415411
715014045335231345
oct1477211420123237
9244230822838117
1057124344342175
1117224331175090
1264a70b740a567
1325b4a582ac226
141016b93b33995
15690e06906e1a
hex33f44c40a69f

57124344342175 has 24 divisors (see below), whose sum is σ = 77462591831280. Its totient is φ = 41443400659200.

The previous prime is 57124344342139. The next prime is 57124344342179.

57124344342175 is nontrivially palindromic in base 10.

57124344342175 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57124344342175 - 231 = 57122196858527 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57124344342179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253829932 + ... + 254054881.

It is an arithmetic number, because the mean of its divisors is an integer number (3227607992970).

Almost surely, 257124344342175 is an apocalyptic number.

57124344342175 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57124344342175 is a deficient number, since it is larger than the sum of its proper divisors (20338247489105).

57124344342175 is a wasteful number, since it uses less digits than its factorization.

57124344342175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507885243 (or 507885238 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 52.

The spelling of 57124344342175 in words is "fifty-seven trillion, one hundred twenty-four billion, three hundred forty-four million, three hundred forty-two thousand, one hundred seventy-five".

Divisors: 1 5 11 25 55 275 409 2045 4499 10225 22495 112475 507884813 2539424065 5586732943 12697120325 27933664715 139668323575 207724888517 1038624442585 2284973773687 5193122212925 11424868868435 57124344342175