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57253388335275 = 35211659105308113
BaseRepresentation
bin11010000010010010101111…
…10111111011100010101011
321111201101000001222100211110
431001021113313323202223
530001014414403212100
6321433502110201403
715026264223123516
oct1501112767734253
9244641001870743
1057253388335275
1117274031139070
12650810bab3263
1325c3c820aaab2
14101d116263d7d
1569445a879250
hex341257dfb8ab

57253388335275 has 48 divisors (see below), whose sum is σ = 103420992597120. Its totient is φ = 27717095078400.

The previous prime is 57253388335267. The next prime is 57253388335313.

57253388335275 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57253388335275 - 23 = 57253388335267 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52110382 + ... + 53197731.

It is an arithmetic number, because the mean of its divisors is an integer number (2154604012440).

Almost surely, 257253388335275 is an apocalyptic number.

57253388335275 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57253388335275 is a deficient number, since it is larger than the sum of its proper divisors (46167604261845).

57253388335275 is a wasteful number, since it uses less digits than its factorization.

57253388335275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105308796 (or 105308791 counting only the distinct ones).

The product of its digits is 635040000, while the sum is 66.

The spelling of 57253388335275 in words is "fifty-seven trillion, two hundred fifty-three billion, three hundred eighty-eight million, three hundred thirty-five thousand, two hundred seventy-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 659 825 1977 3295 7249 9885 16475 21747 36245 49425 108735 181225 543675 105308113 315924339 526540565 1158389243 1579621695 2632702825 3475167729 5791946215 7898108475 17375838645 28959731075 69398046467 86879193225 208194139401 346990232335 763378511137 1040970697005 1734951161675 2290135533411 3816892555685 5204853485025 11450677667055 19084462778425 57253388335275