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57325299252375 = 3537211283613107
BaseRepresentation
bin11010000100011000101100…
…00110010011110010010111
321111222020121200001110011110
431002030112012103302113
530003204203102034000
6321530513502510103
715034421232622200
oct1502142606236227
9244866550043143
1057325299252375
11172a1582a62470
12651a03a895333
1325ca9a23ac10b
1410227b89865a7
15696268b02850
hex342316193c97

57325299252375 has 96 divisors (see below), whose sum is σ = 121050612304128. Its totient is φ = 23823500904000.

The previous prime is 57325299252307. The next prime is 57325299252409.

57325299252375 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57325299252375 - 216 = 57325299186839 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141604429 + ... + 142008678.

It is an arithmetic number, because the mean of its divisors is an integer number (1260943878168).

Almost surely, 257325299252375 is an apocalyptic number.

57325299252375 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57325299252375 is an abundant number, since it is smaller than the sum of its proper divisors (63725313051753).

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

57325299252375 is a wasteful number, since it uses less digits than its factorization.

57325299252375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283613150 (or 283613133 counting only the distinct ones).

The product of its digits is 357210000, while the sum is 66.

The spelling of 57325299252375 in words is "fifty-seven trillion, three hundred twenty-five billion, two hundred ninety-nine million, two hundred fifty-two thousand, three hundred seventy-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 49 55 75 77 105 125 147 165 175 231 245 275 375 385 525 539 735 825 875 1155 1225 1375 1617 1925 2625 2695 3675 4125 5775 6125 8085 9625 13475 18375 28875 40425 67375 202125 283613107 850839321 1418065535 1985291749 3119744177 4254196605 5955875247 7090327675 9359232531 9926458745 13897042243 15598720885 21270983025 21838209239 29779376235 35451638375 41691126729 46796162655 49632293725 65514627717 69485211215 77993604425 106354915125 109191046195 148896881175 152867464673 208455633645 233980813275 248161468625 327573138585 347426056075 389968022125 458602394019 545955230975 744484405875 764337323365 1042278168225 1169904066375 1637865692925 1737130280375 2293011970095 2729776154875 3821686616825 5211390841125 8189328464625 11465059850475 19108433084125 57325299252375