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58045227144 = 233231633311949
BaseRepresentation
bin110110000011110000…
…111110000010001000
312112211021100001111120
4312003300332002020
51422334034232034
642355434355240
74123262201322
oct660360760210
9175737301446
1058045227144
1122687021303
12b2bb28bb20
135620789968
142b4900c612
15179ad25c49
hexd83c3e088

58045227144 has 128 divisors (see below), whose sum is σ = 152889984000. Its totient is φ = 18328654080.

The previous prime is 58045227139. The next prime is 58045227197. The reversal of 58045227144 is 44172254085.

It is a junction number, because it is equal to n+sod(n) for n = 58045227096 and 58045227105.

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, 29781082 + ... + 29783030.

It is an arithmetic number, because the mean of its divisors is an integer number (1194453000).

Almost surely, 258045227144 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 58045227144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76444992000).

58045227144 is an abundant number, since it is smaller than the sum of its proper divisors (94844756856).

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

58045227144 is a wasteful number, since it uses less digits than its factorization.

58045227144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 42.

The spelling of 58045227144 in words is "fifty-eight billion, forty-five million, two hundred twenty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 163 184 276 326 331 489 552 652 662 978 993 1304 1324 1949 1956 1986 2648 3749 3898 3912 3972 5847 7498 7613 7796 7944 11247 11694 14996 15226 15592 22494 22839 23388 29992 30452 44827 44988 45678 46776 53953 60904 89654 89976 91356 107906 134481 161859 179308 182712 215812 268962 317687 323718 358616 431624 537924 635374 645119 647436 953061 1075848 1240919 1270748 1290238 1294872 1906122 1935357 2481838 2541496 2580476 3722757 3812244 3870714 4963676 5160952 7306801 7445514 7624488 7741428 9927352 14613602 14837737 14891028 15482856 21920403 29227204 29675474 29782056 43840806 44513211 58454408 59350948 87681612 89026422 105154397 118701896 175363224 178052844 210308794 315463191 356105688 420617588 630926382 841235176 1261852764 2418551131 2523705528 4837102262 7255653393 9674204524 14511306786 19348409048 29022613572 58045227144