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57340655604375 = 35411131796131949
BaseRepresentation
bin11010000100110101010010…
…11010001001001010010111
321112000201020212201221220020
431002122221122021022113
530003432130313320000
6321541533350440223
715035503620512553
oct1502325132111227
9245021225657806
1057340655604375
11172a8043247a70
126521005663073
1325cc27b9c6630
14102343424c863
15696866d57ba0
hex3426a9689297

57340655604375 has 320 divisors, whose sum is σ = 113108643648000. Its totient is φ = 25464879360000.

The previous prime is 57340655604343. The next prime is 57340655604389.

It is a happy number.

57340655604375 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57340655604375 - 25 = 57340655604343 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 29420550901 + ... + 29420552849.

It is an arithmetic number, because the mean of its divisors is an integer number (353464511400).

Almost surely, 257340655604375 is an apocalyptic number.

57340655604375 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57340655604375 is a deficient number, since it is larger than the sum of its proper divisors (55767988043625).

57340655604375 is a wasteful number, since it uses less digits than its factorization.

57340655604375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 158760000, while the sum is 60.

The spelling of 57340655604375 in words is "fifty-seven trillion, three hundred forty billion, six hundred fifty-five million, six hundred four thousand, three hundred seventy-five".