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57577346475104 = 2517311039429313
BaseRepresentation
bin11010001011101110001010…
…10010001010010001100000
321112212100012021100222220202
431011313011102022101200
530021321401144200404
6322242400125324332
715061553214643301
oct1505670522122140
9245770167328822
1057577346475104
1117389463057425
12655aa60a066a8
13261869c63a5b1
141030a892267a8
1569cabb50b21e
hex345dc548a460

57577346475104 has 48 divisors (see below), whose sum is σ = 114114010635072. Its totient is φ = 28596312219648.

The previous prime is 57577346475049. The next prime is 57577346475133. The reversal of 57577346475104 is 40157464377575.

It is a happy number.

It is a super-2 number, since 2×575773464751042 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1391552 + ... + 10820864.

It is an arithmetic number, because the mean of its divisors is an integer number (2377375221564).

Almost surely, 257577346475104 is an apocalyptic number.

It is an amenable number.

57577346475104 is a deficient number, since it is larger than the sum of its proper divisors (56536664159968).

57577346475104 is a wasteful number, since it uses less digits than its factorization.

57577346475104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9430599 (or 9430591 counting only the distinct ones).

The product of its (nonzero) digits is 345744000, while the sum is 65.

The spelling of 57577346475104 in words is "fifty-seven trillion, five hundred seventy-seven billion, three hundred forty-six million, four hundred seventy-five thousand, one hundred four".

Divisors: 1 2 4 8 16 32 173 346 692 1103 1384 2206 2768 4412 5536 8824 17648 35296 190819 381638 763276 1526552 3053104 6106208 9429313 18858626 37717252 75434504 150869008 301738016 1631271149 3262542298 6525084596 10400532239 13050169192 20801064478 26100338384 41602128956 52200676768 83204257912 166408515824 332817031648 1799292077347 3598584154694 7197168309388 14394336618776 28788673237552 57577346475104