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58166206680 = 23353717877331
BaseRepresentation
bin110110001010111110…
…011110000011011000
312120010200222110020010
4312022332132003120
51423111022103210
642415435401520
74126261412331
oct661276360330
9176120873203
1058166206680
1122739341a9a
12b3338b32a0
13563c86769a
142b5b101288
1517a6771920
hexd8af9e0d8

58166206680 has 128 divisors (see below), whose sum is σ = 179339546880. Its totient is φ = 15081269760.

The previous prime is 58166206669. The next prime is 58166206691. The reversal of 58166206680 is 8660266185.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (58166206669) and next prime (58166206691).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7930615 + ... + 7937945.

It is an arithmetic number, because the mean of its divisors is an integer number (1401090210).

Almost surely, 258166206680 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 58166206680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89669773440).

58166206680 is an abundant number, since it is smaller than the sum of its proper divisors (121173340200).

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

58166206680 is a wasteful number, since it uses less digits than its factorization.

58166206680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9169 (or 9165 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 58166206680 in words is "fifty-eight billion, one hundred sixty-six million, two hundred six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 1787 2220 3574 4440 5361 7148 7331 8935 10722 14296 14662 17870 21444 21993 26805 29324 35740 36655 42888 43986 53610 58648 66119 71480 73310 87972 107220 109965 132238 146620 175944 198357 214440 219930 264476 271247 293240 330595 396714 439860 528952 542494 661190 793428 813741 879720 991785 1084988 1322380 1356235 1586856 1627482 1983570 2169976 2644760 2712470 3254964 3967140 4068705 5424940 6509928 7934280 8137410 10849880 13100497 16274820 26200994 32549640 39301491 52401988 65502485 78602982 104803976 131004970 157205964 196507455 262009940 314411928 393014910 484718389 524019880 786029820 969436778 1454155167 1572059640 1938873556 2423591945 2908310334 3877747112 4847183890 5816620668 7270775835 9694367780 11633241336 14541551670 19388735560 29083103340 58166206680