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58185643068 = 223273110372313
BaseRepresentation
bin110110001100001000…
…100111010000111100
312120012001112220221100
4312030020213100330
51423131011034233
642421412133100
74126615543230
oct661410472074
9176161486840
1058185643068
1122749307923
12b33a307190
1356438b13c7
142b5d9205c0
1517a8310813
hexd8c22743c

58185643068 has 144 divisors (see below), whose sum is σ = 175201202176. Its totient is φ = 15931779840.

The previous prime is 58185643063. The next prime is 58185643093. The reversal of 58185643068 is 86034658185.

58185643068 is a `hidden beast` number, since 5 + 8 + 18 + 564 + 3 + 0 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58185643063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 768480 + ... + 840792.

Almost surely, 258185643068 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 58185643068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87600601088).

58185643068 is an abundant number, since it is smaller than the sum of its proper divisors (117015559108).

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

58185643068 is a wasteful number, since it uses less digits than its factorization.

58185643068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72464 (or 72459 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 58185643068 in words is "fifty-eight billion, one hundred eighty-five million, six hundred forty-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 103 124 126 186 206 217 252 279 309 372 412 434 558 618 651 721 868 927 1116 1236 1302 1442 1854 1953 2163 2604 2884 3193 3708 3906 4326 6386 6489 7812 8652 9579 12772 12978 19158 22351 25956 28737 38316 44702 57474 67053 72313 89404 114948 134106 144626 201159 216939 268212 289252 402318 433878 506191 650817 804636 867756 1012382 1301634 1518573 2024764 2241703 2603268 3037146 4483406 4555719 6074292 6725109 7448239 8966812 9111438 13450218 14896478 15691921 18222876 20175327 22344717 26900436 29792956 31383842 40350654 44689434 47075763 52137673 62767684 67034151 80701308 89378868 94151526 104275346 134068302 141227289 156413019 188303052 208550692 230895409 268136604 282454578 312826038 461790818 469239057 564909156 625652076 692686227 923581636 938478114 1385372454 1616267863 1876956228 2078058681 2770744908 3232535726 4156117362 4848803589 6465071452 8312234724 9697607178 14546410767 19395214356 29092821534 58185643068