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58104821190160 = 24547891311325449
BaseRepresentation
bin11010011011000100101010…
…01110100000111000010000
321121201202200220002211211101
431031202111032200320100
530103442133211041120
6323324553015154144
715144635431023013
oct1515422516407020
9247652626084741
1058104821190160
11175721308549a8
12662512b075954
13265635190a1c4
14104c40734137a
156ab68e1e590a
hex34d8953a0e10

58104821190160 has 160 divisors (see below), whose sum is σ = 140583377088000. Its totient is φ = 22320120176640.

The previous prime is 58104821190103. The next prime is 58104821190161. The reversal of 58104821190160 is 6109112840185.

It is a self number, because there is not a number n which added to its sum of digits gives 58104821190160.

It is not an unprimeable number, because it can be changed into a prime (58104821190161) by changing a digit.

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, 43175116 + ... + 44500564.

It is an arithmetic number, because the mean of its divisors is an integer number (878646106800).

Almost surely, 258104821190160 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 58104821190160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70291688544000).

58104821190160 is an abundant number, since it is smaller than the sum of its proper divisors (82478555897840).

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

58104821190160 is a wasteful number, since it uses less digits than its factorization.

58104821190160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325729 (or 1325723 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 46.

The spelling of 58104821190160 in words is "fifty-eight trillion, one hundred four billion, eight hundred twenty-one million, one hundred ninety thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 89 94 131 178 188 235 262 356 376 445 470 524 655 712 752 890 940 1048 1310 1424 1780 1880 2096 2620 3560 3760 4183 5240 6157 7120 8366 10480 11659 12314 16732 20915 23318 24628 30785 33464 41830 46636 49256 58295 61570 66928 83660 93272 98512 116590 123140 167320 186544 233180 246280 334640 466360 492560 547973 932720 1095946 1325449 2191892 2650898 2739865 4383784 5301796 5479730 6627245 8767568 10603592 10959460 13254490 21207184 21918920 26508980 43837840 53017960 62296103 106035920 117964961 124592206 173633819 235929922 249184412 311480515 347267638 471859844 498368824 589824805 622961030 694535276 868169095 943719688 996737648 1179649610 1245922060 1389070552 1736338190 1887439376 2359299220 2491844120 2778141104 3472676380 4718598440 4983688240 5544353167 6945352760 8160789493 9437196880 11088706334 13890705520 15453409891 16321578986 22177412668 27721765835 30906819782 32643157972 40803947465 44354825336 55443531670 61813639564 65286315944 77267049455 81607894930 88709650672 110887063340 123627279128 130572631888 154534098910 163215789860 221774126680 247254558256 309068197820 326431579720 443548253360 618136395640 652863159440 726310264877 1236272791280 1452620529754 2905241059508 3631551324385 5810482119016 7263102648770 11620964238032 14526205297540 29052410595080 58104821190160