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58113073350 = 231952
BaseRepresentation
bin110110000111110011…
…110010000011000110
312120000000000000000000
4312013303302003012
51423003421321400
642410300502130
74125044654553
oct660763620306
9176000000000
1058113073350
1122711351152
12b319b4a946
135631853047
142b5402da2a
1517a1c78600
hexd87cf20c6

58113073350 has 120 divisors (see below), whose sum is σ = 162135474600. Its totient is φ = 15496819560.

The previous prime is 58113073331. The next prime is 58113073363. The reversal of 58113073350 is 5337031185.

It is a happy number.

58113073350 is a `hidden beast` number, since 5 + 8 + 11 + 307 + 335 + 0 = 666.

58113073350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11622614668 + ... + 11622614672.

It is an arithmetic number, because the mean of its divisors is an integer number (1351128955).

Almost surely, 258113073350 is an apocalyptic number.

58113073350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 58113073350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81067737300).

58113073350 is an abundant number, since it is smaller than the sum of its proper divisors (104022401250).

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

58113073350 is an frugal number, since it uses more digits than its factorization.

58113073350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 58113073350 in words is "fifty-eight billion, one hundred thirteen million, seventy-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 729 810 1215 1350 1458 2025 2187 2430 3645 4050 4374 6075 6561 7290 10935 12150 13122 18225 19683 21870 32805 36450 39366 54675 59049 65610 98415 109350 118098 164025 177147 196830 295245 328050 354294 492075 531441 590490 885735 984150 1062882 1476225 1594323 1771470 2657205 2952450 3188646 4428675 4782969 5314410 7971615 8857350 9565938 13286025 14348907 15943230 23914845 26572050 28697814 39858075 43046721 47829690 71744535 79716150 86093442 119574225 129140163 143489070 215233605 239148450 258280326 358722675 387420489 430467210 645700815 717445350 774840978 1076168025 1162261467 1291401630 1937102445 2152336050 2324522934 3228504075 3874204890 5811307335 6457008150 9685512225 11622614670 19371024450 29056536675 58113073350