Search a number
-
+
58166374508 = 221119292399207
BaseRepresentation
bin110110001010111111…
…000111000001101100
312120010201021222102222
4312022333013001230
51423111042441013
642415443134512
74126263011534
oct661277070154
9176121258388
1058166374508
11227394470a0
12b333974438
13563c8c5ba8
142b5b1464c4
1517a67a6508
hexd8afc706c

58166374508 has 48 divisors (see below), whose sum is σ = 120920083200. Its totient is φ = 24183996480.

The previous prime is 58166374507. The next prime is 58166374517. The reversal of 58166374508 is 80547366185.

It is a super-3 number, since 3×581663745083 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 58166374508.

It is not an unprimeable number, because it can be changed into a prime (58166374507) 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 15 ways as a sum of consecutive naturals, for example, 1175360 + ... + 1223847.

It is an arithmetic number, because the mean of its divisors is an integer number (2519168400).

Almost surely, 258166374508 is an apocalyptic number.

58166374508 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

58166374508 is an abundant number, since it is smaller than the sum of its proper divisors (62753708692).

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

58166374508 is a wasteful number, since it uses less digits than its factorization.

58166374508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399270 (or 2399268 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 53.

The spelling of 58166374508 in words is "fifty-eight billion, one hundred sixty-six million, three hundred seventy-four thousand, five hundred eight".

Divisors: 1 2 4 11 19 22 29 38 44 58 76 116 209 319 418 551 638 836 1102 1276 2204 6061 12122 24244 2399207 4798414 9596828 26391277 45584933 52782554 69577003 91169866 105565108 139154006 182339732 278308012 501434263 765347033 1002868526 1321963057 1530694066 2005737052 2643926114 3061388132 5287852228 14541593627 29083187254 58166374508