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58397679384 = 23311596415849
BaseRepresentation
bin110110011000110001…
…011101111100011000
312120201211112111002020
4312120301131330120
51424044301220014
642454424534440
74135102041012
oct663061357430
9176654474066
1058397679384
1122847a70950
12b399321420
1356787c1095
142b7db571b2
1517bbc461a9
hexd98c5df18

58397679384 has 128 divisors (see below), whose sum is σ = 162246240000. Its totient is φ = 17366220800.

The previous prime is 58397679377. The next prime is 58397679409. The reversal of 58397679384 is 48397679385.

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 31 ways as a sum of consecutive naturals, for example, 9981292 + ... + 9987140.

It is an arithmetic number, because the mean of its divisors is an integer number (1267548750).

Almost surely, 258397679384 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 58397679384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81123120000).

58397679384 is an abundant number, since it is smaller than the sum of its proper divisors (103848560616).

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

58397679384 is a wasteful number, since it uses less digits than its factorization.

58397679384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6569 (or 6565 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 69.

Subtracting from 58397679384 its reverse (48397679385), we obtain a palindrome (9999999999).

The spelling of 58397679384 in words is "fifty-eight billion, three hundred ninety-seven million, six hundred seventy-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 88 118 132 177 236 264 354 472 641 649 708 1282 1298 1416 1923 1947 2564 2596 3846 3894 5128 5192 5849 7051 7692 7788 11698 14102 15384 15576 17547 21153 23396 28204 35094 37819 42306 46792 56408 64339 70188 75638 84612 113457 128678 140376 151276 169224 193017 226914 257356 302552 345091 386034 416009 453828 514712 690182 772068 832018 907656 1035273 1248027 1380364 1544136 1664036 2070546 2496054 2760728 3328072 3749209 3796001 4141092 4992108 7498418 7592002 8282184 9984216 11247627 11388003 14996836 15184004 22495254 22776006 29993672 30368008 41241299 44990508 45552012 82482598 89981016 91104024 123723897 164965196 221203331 247447794 329930392 442406662 494895588 663609993 884813324 989791176 1327219986 1769626648 2433236641 2654439972 4866473282 5308879944 7299709923 9732946564 14599419846 19465893128 29198839692 58397679384