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11255071476593 = 723753173367589
BaseRepresentation
bin1010001111001000011010…
…0010011000101101110001
31110211222022021122020110002
42203302012202120231301
52433400341244222333
635534301454315345
72241103110024200
oct243620642305561
943758267566402
1011255071476593
11364a28147a62a
1213193847b8b55
1363846c0a9469
142aca69733237
15147b848480e8
hexa3c86898b71

11255071476593 has 48 divisors (see below), whose sum is σ = 13708304781840. Its totient is φ = 9203915395584.

The previous prime is 11255071476581. The next prime is 11255071476613. The reversal of 11255071476593 is 39567417055211.

It can be written as a sum of positive squares in 8 ways, for example, as 1199874870544 + 10055196606049 = 1095388^2 + 3170993^2 .

It is not a de Polignac number, because 11255071476593 - 24 = 11255071476577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11255071478593) 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, 166488443 + ... + 166556031.

It is an arithmetic number, because the mean of its divisors is an integer number (285589682955).

Almost surely, 211255071476593 is an apocalyptic number.

It is an amenable number.

11255071476593 is a deficient number, since it is larger than the sum of its proper divisors (2453233305247).

11255071476593 is a wasteful number, since it uses less digits than its factorization.

11255071476593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69426 (or 69419 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 56.

The spelling of 11255071476593 in words is "eleven trillion, two hundred fifty-five billion, seventy-one million, four hundred seventy-six thousand, five hundred ninety-three".

Divisors: 1 7 37 49 53 259 371 1733 1813 1961 2597 12131 13727 64121 67589 84917 91849 96089 448847 473123 642943 2500793 3141929 3311861 3398413 3582217 4500601 17505551 23788891 25075519 117131737 122538857 132542029 166522237 175528633 819922159 927794203 4333874269 5739455113 6207982061 6494559421 30337119883 43455874427 212359839181 229695336257 304191120989 1607867353799 11255071476593