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57357377375375 = 5371119730249787
BaseRepresentation
bin11010000101010100011100…
…00110101000110010001111
321112002022102020200221101002
431002222032012220302033
530004220402102003000
6321553340532210515
715036635165310530
oct1502521606506217
9245068366627332
1057357377375375
1117304144252020
1265242b1769a3b
132600a1517249c
14102417cdc4687
15696ee4dc18d5
hex342a8e1a8c8f

57357377375375 has 64 divisors (see below), whose sum is σ = 89698123367424. Its totient is φ = 35573748336000.

The previous prime is 57357377375303. The next prime is 57357377375401.

57357377375375 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57357377375375 - 210 = 57357377374351 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13228769 + ... + 17021018.

It is an arithmetic number, because the mean of its divisors is an integer number (1401533177616).

Almost surely, 257357377375375 is an apocalyptic number.

57357377375375 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57357377375375 is a deficient number, since it is larger than the sum of its proper divisors (32340745992049).

57357377375375 is a wasteful number, since it uses less digits than its factorization.

57357377375375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30250017 (or 30250007 counting only the distinct ones).

The product of its digits is 5955980625, while the sum is 74.

The spelling of 57357377375375 in words is "fifty-seven trillion, three hundred fifty-seven billion, three hundred seventy-seven million, three hundred seventy-five thousand, three hundred seventy-five".

Divisors: 1 5 7 11 25 35 55 77 125 175 197 275 385 875 985 1375 1379 1925 2167 4925 6895 9625 10835 15169 24625 34475 54175 75845 172375 270875 379225 1896125 30249787 151248935 211748509 332747657 756244675 1058742545 1663738285 2329233599 3781223375 5293712725 5959208039 8318691425 11646167995 26468563625 29796040195 41593457125 41714456273 58230839975 65551288429 148980200975 208572281365 291154199875 327756442145 458859019003 744901004875 1042861406825 1638782210725 2294295095015 5214307034125 8193911053625 11471475475075 57357377375375