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57212233221275 = 52112362471447961
BaseRepresentation
bin11010000001000110000101…
…10101101000010010011011
321111120102202220100221210222
431000203002311220102123
524444331123201040100
6321402534225230255
715023306321332436
oct1500430265502233
9244512686327728
1057212233221275
1117258632151860
12650014519238b
1325c012391b832
14101b1304cc81d
1569334c771485
hex3408c2d6849b

57212233221275 has 48 divisors (see below), whose sum is σ = 80770424790528. Its totient is φ = 39793415904000.

The previous prime is 57212233221151. The next prime is 57212233221329.

It is a happy number.

57212233221275 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57212233221275 - 214 = 57212233204891 is a prime.

It is a super-2 number, since 2×572122332212752 (a number of 28 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 38788295 + ... + 40236255.

It is an arithmetic number, because the mean of its divisors is an integer number (1682717183136).

Almost surely, 257212233221275 is an apocalyptic number.

57212233221275 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57212233221275 is a deficient number, since it is larger than the sum of its proper divisors (23558191569253).

57212233221275 is a wasteful number, since it uses less digits than its factorization.

57212233221275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454252 (or 1454247 counting only the distinct ones).

The product of its digits is 705600, while the sum is 44.

It can be divided in two parts, 5721223 and 3221275, that added together give a palindrome (8942498).

The spelling of 57212233221275 in words is "fifty-seven trillion, two hundred twelve billion, two hundred thirty-three million, two hundred twenty-one thousand, two hundred seventy-five".

Divisors: 1 5 11 23 25 55 115 253 275 575 1265 6247 6325 31235 68717 143681 156175 343585 718405 1447961 1580491 1717925 3592025 7239805 7902455 15927571 33303103 36199025 39512275 79637855 166515515 366334133 398189275 832577575 1831670665 9045412367 9158353325 45227061835 99499536037 208044484441 226135309175 497497680185 1040222422205 2288489328851 2487488400925 5201112111025 11442446644255 57212233221275