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60114145785505 = 572477173528277
BaseRepresentation
bin11011010101100011010100…
…10011100011011010100001
321212211212010011211012220121
431222301222103203122201
530334402232310114010
6331504020214440241
715443050400210200
oct1552615223433241
9255755104735817
1060114145785505
11181772a213a229
1268aa635963081
13277097cc515c6
1410bb77c37d237
156e3a90b1b3da
hex36ac6a4e36a1

60114145785505 has 48 divisors (see below), whose sum is σ = 86906895238656. Its totient is φ = 39775856184960.

The previous prime is 60114145785503. The next prime is 60114145785557. The reversal of 60114145785505 is 50558754141106.

60114145785505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 60114145785505 - 21 = 60114145785503 is a prime.

It is a super-2 number, since 2×601141457855052 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (60114145785503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35946574 + ... + 37581703.

It is an arithmetic number, because the mean of its divisors is an integer number (1810560317472).

Almost surely, 260114145785505 is an apocalyptic number.

It is an amenable number.

60114145785505 is a deficient number, since it is larger than the sum of its proper divisors (26792749453151).

60114145785505 is a wasteful number, since it uses less digits than its factorization.

60114145785505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73528414 (or 73528407 counting only the distinct ones).

The product of its (nonzero) digits is 3360000, while the sum is 52.

The spelling of 60114145785505 in words is "sixty trillion, one hundred fourteen billion, one hundred forty-five million, seven hundred eighty-five thousand, five hundred five".

Divisors: 1 5 7 35 47 49 71 235 245 329 355 497 1645 2303 2485 3337 3479 11515 16685 17395 23359 116795 163513 817565 73528277 367641385 514697939 2573489695 3455829019 3602885573 5220507667 17279145095 18014427865 24190803133 26102538335 36543553669 120954015665 169335621931 182717768345 245363860349 255804875683 846678109655 1226819301745 1279024378415 1717547022443 8587735112215 12022829157101 60114145785505