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58989669648 = 243713127910559
BaseRepresentation
bin110110111100000011…
…101110110100010000
312122021002110201001120
4312330003232310100
51431302323412043
643033253202240
74155550630110
oct667403566420
9178232421046
1058989669648
11230211489a8
12b523630380
135741343c90
142bd8617040
151803bd0983
hexdbc0eed10

58989669648 has 160 divisors (see below), whose sum is σ = 187721318400. Its totient is φ = 15544078848.

The previous prime is 58989669623. The next prime is 58989669659. The reversal of 58989669648 is 84696698985.

58989669648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×589896696482 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

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, 5581393 + ... + 5591951.

It is an arithmetic number, because the mean of its divisors is an integer number (1173258240).

Almost surely, 258989669648 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 58989669648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93860659200).

58989669648 is an abundant number, since it is smaller than the sum of its proper divisors (128731648752).

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

58989669648 is a wasteful number, since it uses less digits than its factorization.

58989669648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11869 (or 11863 counting only the distinct ones).

The product of its digits is 1612431360, while the sum is 78.

The spelling of 58989669648 in words is "fifty-eight billion, nine hundred eighty-nine million, six hundred sixty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1279 1456 2184 2558 3837 4368 5116 7674 8953 10232 10559 15348 16627 17906 20464 21118 26859 30696 31677 33254 35812 42236 49881 53718 61392 63354 66508 71624 73913 84472 99762 107436 116389 126708 133016 137267 143248 147826 168944 199524 214872 221739 232778 253416 266032 274534 295652 349167 399048 411801 429744 443478 465556 506832 549068 591304 698334 798096 823602 886956 931112 960869 1098136 1182608 1396668 1647204 1773912 1862224 1921738 2196272 2793336 2882607 3294408 3547824 3843476 5586672 5765214 6588816 7686952 11530428 13504961 15373904 23060856 27009922 40514883 46121712 54019844 81029766 94534727 108039688 162059532 175564493 189069454 216079376 283604181 324119064 351128986 378138908 526693479 567208362 648238128 702257972 756277816 1053386958 1134416724 1228951451 1404515944 1512555632 2106773916 2268833448 2457902902 2809031888 3686854353 4213547832 4537666896 4915805804 7373708706 8427095664 9831611608 14747417412 19663223216 29494834824 58989669648