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57275642205 = 32529409107309
BaseRepresentation
bin110101010101111001…
…001111000101011101
312110211122020002102200
4311111321033011131
51414300031022310
642151223442113
74065225632415
oct652571170535
9173748202380
1057275642205
11223216747a1
12b1255b6339
13552a1c5962
142ab4b1d645
1517534aa9c0
hexd55e4f15d

57275642205 has 48 divisors (see below), whose sum is σ = 102953214000. Its totient is φ = 29421278208.

The previous prime is 57275642201. The next prime is 57275642227. The reversal of 57275642205 is 50224657275.

57275642205 is a `hidden beast` number, since 572 + 7 + 56 + 4 + 2 + 20 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 622521 + 57275019684 = 789^2 + 239322^2 .

It is not a de Polignac number, because 57275642205 - 22 = 57275642201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57275642201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 480091 + ... + 587399.

It is an arithmetic number, because the mean of its divisors is an integer number (2144858625).

Almost surely, 257275642205 is an apocalyptic number.

It is an amenable number.

57275642205 is a deficient number, since it is larger than the sum of its proper divisors (45677571795).

57275642205 is a wasteful number, since it uses less digits than its factorization.

57275642205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107758 (or 107755 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 57275642205 in words is "fifty-seven billion, two hundred seventy-five million, six hundred forty-two thousand, two hundred five".

Divisors: 1 3 5 9 15 29 45 87 145 261 409 435 1227 1305 2045 3681 6135 11861 18405 35583 59305 106749 107309 177915 321927 533745 536545 965781 1609635 3111961 4828905 9335883 15559805 28007649 43889381 46679415 131668143 140038245 219446905 395004429 658340715 1272792049 1975022145 3818376147 6363960245 11455128441 19091880735 57275642205