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57385733457 = 3132718319207
BaseRepresentation
bin110101011100011101…
…001100110101010001
312111010022101022020110
4311130131030311101
51420011221432312
642210155231533
74101033454233
oct653435146521
9174108338213
1057385733457
11223788289a8
12b1564485a9
135546c60700
142ac55ba253
15175cea543c
hexd5c74cd51

57385733457 has 48 divisors (see below), whose sum is σ = 85036428288. Its totient is φ = 34395641280.

The previous prime is 57385733441. The next prime is 57385733467. The reversal of 57385733457 is 75433758375.

It is a happy number.

It is not a de Polignac number, because 57385733457 - 24 = 57385733441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57385733397 and 57385733406.

It is not an unprimeable number, because it can be changed into a prime (57385733467) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2978148 + ... + 2997354.

It is an arithmetic number, because the mean of its divisors is an integer number (1771592256).

Almost surely, 257385733457 is an apocalyptic number.

It is an amenable number.

57385733457 is a deficient number, since it is larger than the sum of its proper divisors (27650694831).

57385733457 is a wasteful number, since it uses less digits than its factorization.

57385733457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19390 (or 19377 counting only the distinct ones).

The product of its digits is 37044000, while the sum is 57.

The spelling of 57385733457 in words is "fifty-seven billion, three hundred eighty-five million, seven hundred thirty-three thousand, four hundred fifty-seven".

Divisors: 1 3 13 39 71 83 169 213 249 507 923 1079 2769 3237 5893 11999 14027 17679 19207 35997 42081 57621 76609 229827 249691 749073 995917 1363697 1594181 2987751 3245983 4091091 4782543 9737949 17728061 20724353 53184183 62173059 113186851 230464793 269416589 339560553 691394379 808249767 1471429063 4414287189 19128577819 57385733457