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5305808308053 = 3114127114470531
BaseRepresentation
bin100110100110101101011…
…0100011100011101010101
3200210020012220101202220210
41031031122310130131111
51143412243411324203
615141242113520033
71055221606330311
oct115153264343525
920706186352823
105305808308053
1117661a9516650
12718374573019
132c6449353036
14144b34078b41
1593039ca0803
hex4d35ad1c755

5305808308053 has 32 divisors (see below), whose sum is σ = 7934945163264. Its totient is φ = 3125634480000.

The previous prime is 5305808308013. The next prime is 5305808308057. The reversal of 5305808308053 is 3508038085035.

It is a de Polignac number, because none of the positive numbers 2k-5305808308053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5305808307993 and 5305808308011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5305808308057) 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 31 ways as a sum of consecutive naturals, for example, 6868603 + ... + 7601928.

It is an arithmetic number, because the mean of its divisors is an integer number (247967036352).

Almost surely, 25305808308053 is an apocalyptic number.

It is an amenable number.

5305808308053 is a deficient number, since it is larger than the sum of its proper divisors (2629136855211).

5305808308053 is a wasteful number, since it uses less digits than its factorization.

5305808308053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14470857.

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 5305808308053 in words is "five trillion, three hundred five billion, eight hundred eight million, three hundred eight thousand, fifty-three".

Divisors: 1 3 11 33 41 123 271 451 813 1353 2981 8943 11111 33333 122221 366663 14470531 43411593 159175841 477527523 593291771 1779875313 3921513901 6526209481 11764541703 19578628443 43136652911 129409958733 160782069941 482346209823 1768602769351 5305808308053