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54635350653 = 3213736396833
BaseRepresentation
bin110010111000100001…
…010100101001111101
312020000122001101022200
4302320201110221331
51343343122210103
641033225102113
73642625550412
oct627041245175
9166018041280
1054635350653
112119725a664
12a709327939
1351c91b6570
1429041d0109
15164b7bc0a3
hexcb8854a7d

54635350653 has 24 divisors (see below), whose sum is σ = 86152560312. Its totient is φ = 33161177088.

The previous prime is 54635350631. The next prime is 54635350673. The reversal of 54635350653 is 35605353645.

54635350653 is a `hidden beast` number, since 5 + 4 + 63 + 535 + 0 + 6 + 53 = 666.

54635350653 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8426689209 + 46208661444 = 91797^2 + 214962^2 .

It is not a de Polignac number, because 54635350653 - 218 = 54635088509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54635350599 and 54635350608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54635350613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3189876 + ... + 3206957.

It is an arithmetic number, because the mean of its divisors is an integer number (3589690013).

Almost surely, 254635350653 is an apocalyptic number.

It is an amenable number.

54635350653 is a deficient number, since it is larger than the sum of its proper divisors (31517209659).

54635350653 is a wasteful number, since it uses less digits than its factorization.

54635350653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6396925 (or 6396922 counting only the distinct ones).

The product of its (nonzero) digits is 2430000, while the sum is 45.

The spelling of 54635350653 in words is "fifty-four billion, six hundred thirty-five million, three hundred fifty thousand, six hundred fifty-three".

Divisors: 1 3 9 13 39 73 117 219 657 949 2847 8541 6396833 19190499 57571497 83158829 249476487 466968809 748429461 1400906427 4202719281 6070594517 18211783551 54635350653