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57713820801 = 37131135633323
BaseRepresentation
bin110101110000000000…
…110000010010000001
312111222011201212110120
4311300000300102001
51421144214231201
642302515250453
74112126245140
oct656000602201
9174864655416
1057713820801
1122526a4686a
12b2282a9a29
135599c13a30
142b16dc1757
15177bbb1536
hexd70030481

57713820801 has 64 divisors (see below), whose sum is σ = 95746516992. Its totient is φ = 30110395392.

The previous prime is 57713820799. The next prime is 57713820803. The reversal of 57713820801 is 10802831775.

It is an interprime number because it is at equal distance from previous prime (57713820799) and next prime (57713820803).

It is not a de Polignac number, because 57713820801 - 21 = 57713820799 is a prime.

It is a super-2 number, since 2×577138208012 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57713820803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17366326 + ... + 17369648.

It is an arithmetic number, because the mean of its divisors is an integer number (1496039328).

Almost surely, 257713820801 is an apocalyptic number.

It is an amenable number.

57713820801 is a deficient number, since it is larger than the sum of its proper divisors (38032696191).

57713820801 is a wasteful number, since it uses less digits than its factorization.

57713820801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022.

The product of its (nonzero) digits is 94080, while the sum is 42.

The spelling of 57713820801 in words is "fifty-seven billion, seven hundred thirteen million, eight hundred twenty thousand, eight hundred one".

Divisors: 1 3 7 13 21 39 91 113 273 339 563 791 1469 1689 2373 3323 3941 4407 7319 9969 10283 11823 21957 23261 30849 43199 51233 63619 69783 129597 153699 190857 302393 375499 445333 827047 907179 1126497 1335999 1870849 2481141 2628493 4881487 5612547 5789329 7885479 13095943 14644461 17367987 24321037 34170409 39287829 72963111 102511227 170247259 211405937 510741777 634217811 1479841559 2748277181 4439524677 8244831543 19237940267 57713820801