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58091543960 = 2355971834177
BaseRepresentation
bin110110000110100001…
…101001110110011000
312112221111111012020012
4312012201221312120
51422432413401320
642404211221052
74124363655632
oct660641516630
9175844435205
1058091543960
112270018686a
12b3128a7788
13562a255768
142b51227a52
15179ee244c5
hexd86869d98

58091543960 has 128 divisors (see below), whose sum is σ = 136450137600. Its totient is φ = 22244382720.

The previous prime is 58091543947. The next prime is 58091543989. The reversal of 58091543960 is 6934519085.

It is a happy number.

It is a super-2 number, since 2×580915439602 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 58091543899 and 58091543908.

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, 13905392 + ... + 13909568.

It is an arithmetic number, because the mean of its divisors is an integer number (1066016700).

Almost surely, 258091543960 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 58091543960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68225068800).

58091543960 is an abundant number, since it is smaller than the sum of its proper divisors (78358593640).

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

58091543960 is a wasteful number, since it uses less digits than its factorization.

58091543960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4401 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 50.

The spelling of 58091543960 in words is "fifty-eight billion, ninety-one million, five hundred forty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 59 71 83 118 142 166 236 284 295 332 355 415 472 568 590 664 710 830 1180 1420 1660 2360 2840 3320 4177 4189 4897 5893 8354 8378 9794 11786 16708 16756 19588 20885 20945 23572 24485 29465 33416 33512 39176 41770 41890 47144 48970 58930 83540 83780 97940 117860 167080 167560 195880 235720 246443 296567 346691 347687 492886 593134 693382 695374 985772 1186268 1232215 1386764 1390748 1482835 1733455 1738435 1971544 2372536 2464430 2773528 2781496 2965670 3466910 3476870 4928860 5931340 6933820 6953740 9857720 11862680 13867640 13907480 17497453 20454769 24615061 34994906 40909538 49230122 69989812 81819076 87487265 98460244 102273845 123075305 139979624 163638152 174974530 196920488 204547690 246150610 349949060 409095380 492301220 699898120 818190760 984602440 1452288599 2904577198 5809154396 7261442995 11618308792 14522885990 29045771980 58091543960