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58199291080 = 23572373312329
BaseRepresentation
bin110110001100111100…
…101011010011001000
312120020000020022111021
4312030330223103020
51423143004303310
642423020442224
74130142545320
oct661474532310
9176200208437
1058199291080
1122755a89877
12b3429a9374
13564667c558
142b61674280
1517a96095da
hexd8cf2b4c8

58199291080 has 128 divisors (see below), whose sum is σ = 156387801600. Its totient is φ = 19058890752.

The previous prime is 58199291071. The next prime is 58199291093. The reversal of 58199291080 is 8019299185.

58199291080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 4714356 + ... + 4726684.

It is an arithmetic number, because the mean of its divisors is an integer number (1221779700).

Almost surely, 258199291080 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 58199291080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78193900800).

58199291080 is an abundant number, since it is smaller than the sum of its proper divisors (98188510520).

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

58199291080 is a wasteful number, since it uses less digits than its factorization.

58199291080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13103 (or 13099 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 52.

The spelling of 58199291080 in words is "fifty-eight billion, one hundred ninety-nine million, two hundred ninety-one thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 733 805 920 1288 1466 1610 2932 3220 3665 5131 5864 6440 7330 10262 12329 14660 16859 20524 24658 25655 29320 33718 41048 49316 51310 61645 67436 84295 86303 98632 102620 118013 123290 134872 168590 172606 205240 236026 246580 283567 337180 345212 431515 472052 493160 567134 590065 674360 690424 863030 944104 1134268 1180130 1417835 1726060 1984969 2268536 2360260 2835670 3452120 3969938 4720520 5671340 7939876 9037157 9924845 11342680 15879752 18074314 19849690 36148628 39699380 45185785 63260099 72297256 79398760 90371570 126520198 180743140 207854611 253040396 316300495 361486280 415709222 506080792 632600990 831418444 1039273055 1265201980 1454982277 1662836888 2078546110 2530403960 2909964554 4157092220 5819929108 7274911385 8314184440 11639858216 14549822770 29099645540 58199291080