Search a number
-
+
58166551941120 = 21234575009107
BaseRepresentation
bin11010011100110111101001…
…01010101001000000000000
321121221200001000101220120000
431032123310222221000000
530111000044244103440
6323413202311320000
715152252244526620
oct1516336452510000
9247850030356500
1058166551941120
1117596329198857
126635098680000
13265c10babc68c
1410513c1a02880
156ad0a3873730
hex34e6f4aa9000

58166551941120 has 520 divisors, whose sum is σ = 238299937871424. Its totient is φ = 13295209218048.

The previous prime is 58166551941103. The next prime is 58166551941143. The reversal of 58166551941120 is 2114915566185.

58166551941120 is a `hidden beast` number, since 5 + 8 + 1 + 6 + 6 + 5 + 519 + 4 + 112 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 9107607 + ... + 14116713.

Almost surely, 258166551941120 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 58166551941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119149968935712).

58166551941120 is an abundant number, since it is smaller than the sum of its proper divisors (180133385930304).

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

58166551941120 is an equidigital number, since it uses as much as digits as its factorization.

58166551941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009155 (or 5009124 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 58166551941120 in words is "fifty-eight trillion, one hundred sixty-six billion, five hundred fifty-one million, nine hundred forty-one thousand, one hundred twenty".