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58338916053 = 31123611260047
BaseRepresentation
bin110110010101010001…
…010011011011010101
312120120201221222221120
4312111101103123111
51423434230303203
642444525234153
74133456414235
oct662521233325
9176521858846
1058338916053
1122817885110
12b381702959
135669587c92
142b7601bcc5
1517b69d9b53
hexd954536d5

58338916053 has 32 divisors (see below), whose sum is σ = 89997668352. Its totient is φ = 33265214400.

The previous prime is 58338916039. The next prime is 58338916061. The reversal of 58338916053 is 35061983385.

It is not a de Polignac number, because 58338916053 - 214 = 58338899669 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 58338915987 and 58338916005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58338916093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583725 + ... + 676322.

It is an arithmetic number, because the mean of its divisors is an integer number (2812427136).

Almost surely, 258338916053 is an apocalyptic number.

It is an amenable number.

58338916053 is a deficient number, since it is larger than the sum of its proper divisors (31658752299).

58338916053 is a wasteful number, since it uses less digits than its factorization.

58338916053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260145.

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 58338916053 in words is "fifty-eight billion, three hundred thirty-eight million, nine hundred sixteen thousand, fifty-three".

Divisors: 1 3 11 23 33 61 69 183 253 671 759 1403 2013 4209 15433 46299 1260047 3780141 13860517 28981081 41581551 76862867 86943243 230588601 318791891 845491537 956375673 1767845941 2536474611 5303537823 19446305351 58338916053