Search a number
-
+
58484650896 = 24327228792
BaseRepresentation
bin110110011101111101…
…001111001110010000
312120221220012002120100
4312131331033032100
51424234032312041
642511213012400
74140206221200
oct663575171620
9176856162510
1058484650896
1122892073931
12b402484100
135690822709
142b8b516400
1517c46c56b6
hexd9df4f390

58484650896 has 135 divisors (see below), whose sum is σ = 190464528891. Its totient is φ = 16704096192.

The previous prime is 58484650891. The next prime is 58484650969. The reversal of 58484650896 is 69805648485.

The square root of 58484650896 is 241836.

It is a perfect power (a square), and thus also a powerful number.

58484650896 is a `hidden beast` number, since 5 + 8 + 484 + 65 + 0 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (58484650891) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20312785 + ... + 20315663.

Almost surely, 258484650896 is an apocalyptic number.

58484650896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

58484650896 is the 241836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58484650896

58484650896 is an abundant number, since it is smaller than the sum of its proper divisors (131979877995).

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

58484650896 is an equidigital number, since it uses as much as digits as its factorization.

58484650896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5786 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 58484650896 in words is "fifty-eight billion, four hundred eighty-four million, six hundred fifty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 2879 3528 5758 7056 8637 11516 17274 20153 23032 25911 34548 40306 46064 51822 60459 69096 80612 103644 120918 138192 141071 161224 181377 207288 241836 282142 322448 362754 414576 423213 483672 564284 725508 846426 967344 1128568 1269639 1451016 1692852 2257136 2539278 2902032 3385704 5078556 6771408 8288641 10157112 16577282 20314224 24865923 33154564 49731846 58020487 66309128 74597769 99463692 116040974 132618256 149195538 174061461 198927384 232081948 298391076 348122922 397854768 406143409 464163896 522184383 596782152 696245844 812286818 928327792 1044368766 1193564304 1218430227 1392491688 1624573636 2088737532 2436860454 2784983376 3249147272 3655290681 4177475064 4873720908 6498294544 7310581362 8354950128 9747441816 14621162724 19494883632 29242325448 58484650896