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58147416350 = 25273193197419
BaseRepresentation
bin110110001001110110…
…110010100100011110
312120002101121210201222
4312021312302210132
51423041214310400
642413524533342
74125642612122
oct661166624436
9176071553658
1058147416350
11227297785a1
12b329551252
1356389b8a4a
142b5880d582
1517a4cae185
hexd89db291e

58147416350 has 96 divisors (see below), whose sum is σ = 111027581280. Its totient is φ = 22651453440.

The previous prime is 58147416343. The next prime is 58147416359. The reversal of 58147416350 is 5361474185.

It is a super-2 number, since 2×581474163502 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58147416359) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 138776441 + ... + 138776859.

It is an arithmetic number, because the mean of its divisors is an integer number (1156537305).

Almost surely, 258147416350 is an apocalyptic number.

58147416350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

58147416350 is a deficient number, since it is larger than the sum of its proper divisors (52880164930).

58147416350 is a wasteful number, since it uses less digits than its factorization.

58147416350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 58147416350 in words is "fifty-eight billion, one hundred forty-seven million, four hundred sixteen thousand, three hundred fifty".

Divisors: 1 2 5 10 25 50 73 146 193 197 365 386 394 419 730 838 965 985 1825 1930 1970 2095 3650 4190 4825 4925 9650 9850 10475 14089 14381 20950 28178 28762 30587 38021 61174 70445 71905 76042 80867 82543 140890 143810 152935 161734 165086 190105 305870 352225 359525 380210 404335 412715 704450 719050 764675 808670 825430 950525 1529350 1901050 2021675 2063575 2775533 4043350 4127150 5551066 5903291 6025639 11806582 12051278 13877665 15930799 27755330 29516455 30128195 31861598 59032910 60256390 69388325 79653995 138776650 147582275 150640975 159307990 295164550 301281950 398269975 796539950 1162948327 2325896654 5814741635 11629483270 29073708175 58147416350