Search a number
-
+
58784926512 = 24313319473209
BaseRepresentation
bin110110101111110110…
…101100101100110000
312121201211012200021110
4312233312230230300
51430342420122022
643001100553320
74150513426254
oct665766545460
9177654180243
1058784926512
1122a266163a4
12b486b52840
13570aab8ab0
142bb935c264
1517e0c3b00c
hexdafdacb30

58784926512 has 160 divisors (see below), whose sum is σ = 169049180160. Its totient is φ = 17480263680.

The previous prime is 58784926411. The next prime is 58784926549. The reversal of 58784926512 is 21562948785.

It is a super-2 number, since 2×587849265122 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18317164 + ... + 18320372.

It is an arithmetic number, because the mean of its divisors is an integer number (1056557376).

Almost surely, 258784926512 is an apocalyptic number.

58784926512 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58784926512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84524590080).

58784926512 is an abundant number, since it is smaller than the sum of its proper divisors (110264253648).

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

58784926512 is a wasteful number, since it uses less digits than its factorization.

58784926512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4205 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 57.

The spelling of 58784926512 in words is "fifty-eight billion, seven hundred eighty-four million, nine hundred twenty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 947 1209 1488 1612 1894 2418 2841 3209 3224 3788 4836 5682 6418 6448 7576 9627 9672 11364 12311 12836 15152 19254 19344 22728 24622 25672 29357 36933 38508 41717 45456 49244 51344 58714 73866 77016 83434 88071 98488 99479 117428 125151 147732 154032 166868 176142 196976 198958 234856 250302 295464 298437 333736 352284 381641 397916 469712 500604 590928 596874 667472 704568 763282 795832 1001208 1144923 1193748 1293227 1409136 1526564 1591664 2002416 2289846 2387496 2586454 3038923 3053128 3879681 4579692 4774992 5172908 6077846 6106256 7759362 9116769 9159384 10345816 12155692 15518724 18233538 18318768 20691632 24311384 31037448 36467076 39505999 48622768 62074896 72934152 79011998 94206613 118517997 145868304 158023996 188413226 237035994 282619839 316047992 376826452 474071988 565239678 632095984 753652904 948143976 1130479356 1224685969 1507305808 1896287952 2260958712 2449371938 3674057907 4521917424 4898743876 7348115814 9797487752 14696231628 19594975504 29392463256 58784926512