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531445544135 = 51126119977211
BaseRepresentation
bin1111011101111001001…
…11110111010011000111
31212210202100112212101022
413232330213313103013
532201400024403020
61044050454221355
753252500406522
oct7567447672307
91783670485338
10531445544135
11195426178200
1286bb805485b
133b165b4981c
141ba17637bb9
15dc565eb625
hex7bbc9f74c7

531445544135 has 48 divisors (see below), whose sum is σ = 712928182176. Its totient is φ = 379926624000.

The previous prime is 531445544107. The next prime is 531445544159.

531445544135 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 531445544135 - 28 = 531445543879 is a prime.

It is a Duffinian number.

It is a congruent number.

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, 73695680 + ... + 73702890.

It is an arithmetic number, because the mean of its divisors is an integer number (14852670462).

Almost surely, 2531445544135 is an apocalyptic number.

531445544135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

531445544135 is a deficient number, since it is larger than the sum of its proper divisors (181482638041).

531445544135 is a wasteful number, since it uses less digits than its factorization.

531445544135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9296 (or 9285 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 44.

The spelling of 531445544135 in words is "five hundred thirty-one billion, four hundred forty-five million, five hundred forty-four thousand, one hundred thirty-five".

Divisors: 1 5 11 55 61 121 305 605 671 1997 3355 7211 7381 9985 21967 36055 36905 79321 109835 121817 241637 396605 439871 609085 872531 1208185 1339987 2199355 4362655 4838581 6699935 14400367 14739857 24192905 53224391 72001835 73699285 158404037 266121955 792020185 878422387 1742444407 4392111935 8712222035 9662646257 48313231285 106289108827 531445544135