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58108838116 = 22717253157863
BaseRepresentation
bin110110000111100011…
…101000000011100100
312112222201000211100111
4312013203220003210
51423001330304431
642410030022404
74124663655130
oct660743500344
9175881024314
1058108838116
1122709a1915a
12b318647a04
1356309cc3a4
142b5364a3c0
1517a16dd7b1
hexd878e80e4

58108838116 has 144 divisors (see below), whose sum is σ = 126733372416. Its totient is φ = 22823663616.

The previous prime is 58108838101. The next prime is 58108838149. The reversal of 58108838116 is 61183880185.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 58108838116.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67333101 + ... + 67333963.

It is an arithmetic number, because the mean of its divisors is an integer number (880092864).

Almost surely, 258108838116 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 58108838116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63366686208).

58108838116 is an abundant number, since it is smaller than the sum of its proper divisors (68624534300).

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

58108838116 is a wasteful number, since it uses less digits than its factorization.

58108838116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 49.

The spelling of 58108838116 in words is "fifty-eight billion, one hundred eight million, eight hundred thirty-eight thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 53 68 106 119 157 212 238 289 314 371 476 578 628 742 863 901 1099 1156 1484 1726 1802 2023 2198 2669 3452 3604 4046 4396 5338 6041 6307 8092 8321 10676 12082 12614 14671 15317 16642 18683 24164 25228 29342 30634 33284 37366 45373 45739 58247 58684 61268 74732 90746 91478 102697 107219 116494 135491 141457 181492 182956 205394 214438 232988 249407 270982 282914 317611 320173 410788 428876 498814 541964 565828 635222 640346 777563 948437 990199 997628 1270444 1280692 1555126 1745849 1896874 1980398 2303347 2404769 3110252 3491698 3793748 3960796 4606694 4809538 5442941 6983396 7181023 9213388 9619076 10885882 13218571 14362046 16123429 16833383 21771764 26437142 28724092 32246858 33666766 39156899 50267161 52874284 64493716 67333532 78313798 92529997 100534322 122077391 156627596 185059994 201068644 244154782 274098293 370119988 488309564 548196586 854541737 1096393172 1709083474 2075315647 3418166948 4150631294 8301262588 14527209529 29054419058 58108838116