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58310461404 = 223213213077333
BaseRepresentation
bin110110010011100100…
…110000011111011100
312120111202102100111200
4312103210300133130
51423404434231104
642442031315500
74132662513126
oct662344603734
9176452370450
1058310461404
112280280a778
12b37407bb90
135663704500
142b72332216
1517b4268b39
hexd939307dc

58310461404 has 108 divisors (see below), whose sum is σ = 159750097416. Its totient is φ = 17925508224.

The previous prime is 58310461309. The next prime is 58310461421. The reversal of 58310461404 is 40416401385.

58310461404 is a `hidden beast` number, since 5 + 8 + 31 + 0 + 4 + 614 + 0 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 7948122 + ... + 7955454.

Almost surely, 258310461404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58310461404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79875048708).

58310461404 is an abundant number, since it is smaller than the sum of its proper divisors (101439636012).

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

58310461404 is a wasteful number, since it uses less digits than its factorization.

58310461404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8676 (or 8658 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 58310461404 its reverse (40416401385), we get a palindrome (98726862789).

The spelling of 58310461404 in words is "fifty-eight billion, three hundred ten million, four hundred sixty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1307 1521 2028 2614 3042 3921 5228 6084 7333 7842 11763 14666 15684 16991 21999 23526 29332 33982 43998 47052 50973 65997 67964 87996 95329 101946 131994 152919 190658 203892 220883 263988 285987 305838 381316 441766 571974 611676 662649 857961 883532 1143948 1239277 1325298 1715922 1987947 2478554 2650596 3431844 3717831 3975894 4957108 7435662 7951788 9584231 11153493 14871324 19168462 22306986 28752693 38336924 44613972 57505386 86258079 115010772 124595003 172516158 249190006 345032316 373785009 498380012 747570018 1121355027 1495140036 1619735039 2242710054 3239470078 4485420108 4859205117 6478940156 9718410234 14577615351 19436820468 29155230702 58310461404