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11585431700553 = 3191868891087561
BaseRepresentation
bin1010100010010111000110…
…0010101000010001001001
31112000120000122200102221110
42220211301202220101021
53004303431003404203
640350135052400533
72304006540424164
oct250456142502111
945016018612843
1011585431700553
113767399188507
121371401776149
13660669ac5b19
142c0a48a8cadb
1515156c588d03
hexa89718a8449

11585431700553 has 16 divisors (see below), whose sum is σ = 16260356974400. Its totient is φ = 7317068878080.

The previous prime is 11585431700543. The next prime is 11585431700593. The reversal of 11585431700553 is 35500713458511.

It is not a de Polignac number, because 11585431700553 - 24 = 11585431700537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11585431700543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10108893 + ... + 11196453.

It is an arithmetic number, because the mean of its divisors is an integer number (1016272310900).

Almost surely, 211585431700553 is an apocalyptic number.

It is an amenable number.

11585431700553 is a deficient number, since it is larger than the sum of its proper divisors (4674925273847).

11585431700553 is a wasteful number, since it uses less digits than its factorization.

11585431700553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274472.

The product of its (nonzero) digits is 1260000, while the sum is 48.

The spelling of 11585431700553 in words is "eleven trillion, five hundred eighty-five billion, four hundred thirty-one million, seven hundred thousand, five hundred fifty-three".

Divisors: 1 3 19 57 186889 560667 1087561 3262683 3550891 10652673 20663659 61990977 203253187729 609759563187 3861810566851 11585431700553