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58115327088 = 24371343330727
BaseRepresentation
bin110110000111111100…
…011000010001110000
312120000011020111112210
4312013330120101300
51423010010431323
642410421052120
74125103062330
oct660774302160
9176004214483
1058115327088
1122712650445
12b31a857040
135632161b10
142b544590c0
1517a2071293
hexd87f18470

58115327088 has 160 divisors (see below), whose sum is σ = 185209701376. Its totient is φ = 15291224064.

The previous prime is 58115327071. The next prime is 58115327107. The reversal of 58115327088 is 88072351185.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1875981 + ... + 1906707.

Almost surely, 258115327088 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 58115327088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92604850688).

58115327088 is an abundant number, since it is smaller than the sum of its proper divisors (127094374288).

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

58115327088 is a wasteful number, since it uses less digits than its factorization.

58115327088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31191 (or 31185 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 48.

The spelling of 58115327088 in words is "fifty-eight billion, one hundred fifteen million, three hundred twenty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 433 546 624 728 866 1092 1299 1456 1732 2184 2598 3031 3464 4368 5196 5629 6062 6928 9093 10392 11258 12124 16887 18186 20784 22516 24248 30727 33774 36372 39403 45032 48496 61454 67548 72744 78806 90064 92181 118209 122908 135096 145488 157612 184362 215089 236418 245816 270192 315224 368724 399451 430178 472836 491632 630448 645267 737448 798902 860356 945672 1198353 1290534 1474896 1597804 1720712 1891344 2396706 2581068 2796157 3195608 3441424 4793412 5162136 5592314 6391216 8388471 9586824 10324272 11184628 13304791 16776942 19173648 22369256 26609582 33553884 39914373 44738512 53219164 67107768 79828746 93133537 106438328 134215536 159657492 172962283 186267074 212876656 279400611 319314984 345924566 372534148 518886849 558801222 638629968 691849132 745068296 1037773698 1117602444 1210735981 1383698264 1490136592 2075547396 2235204888 2421471962 2767396528 3632207943 4151094792 4470409776 4842943924 7264415886 8302189584 9685887848 14528831772 19371775696 29057663544 58115327088