Search a number
-
+
58364028135 = 3257231853837
BaseRepresentation
bin110110010110110001…
…000110010011100111
312120122111012211020200
4312112301012103213
51424012142400020
642451223401543
74134213024300
oct662661062347
9176574184220
1058364028135
112282aa771a6
12b389bb32b3
13567183b1ba
142b794b77a7
1517b8cea590
hexd96c464e7

58364028135 has 72 divisors (see below), whose sum is σ = 121477239936. Its totient is φ = 25820000640.

The previous prime is 58364028119. The next prime is 58364028157. The reversal of 58364028135 is 53182046385.

58364028135 is a `hidden beast` number, since 5 + 8 + 364 + 0 + 281 + 3 + 5 = 666.

It is not a de Polignac number, because 58364028135 - 24 = 58364028119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 358564 + ... + 495273.

It is an arithmetic number, because the mean of its divisors is an integer number (1687183888).

Almost surely, 258364028135 is an apocalyptic number.

58364028135 is an abundant number, since it is smaller than the sum of its proper divisors (63113211801).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58364028135 is a wasteful number, since it uses less digits than its factorization.

58364028135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853893 (or 853883 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 58364028135 in words is "fifty-eight billion, three hundred sixty-four million, twenty-eight thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 49 63 93 105 147 155 217 245 279 315 441 465 651 735 1085 1395 1519 1953 2205 3255 4557 7595 9765 13671 22785 68355 853837 2561511 4269185 5976859 7684533 12807555 17930577 26468947 29884295 38422665 41838013 53791731 79406841 89652885 125514039 132344735 185282629 209190065 238220523 268958655 376542117 397034205 555847887 627570195 926413145 1191102615 1296978403 1667543661 1882710585 2779239435 3890935209 6484892015 8337718305 11672805627 19454676045 58364028135