Search a number
-
+
58490557332480 = 21034572131943271
BaseRepresentation
bin11010100110010011001001…
…11001000111110000000000
321200002122100111201011120000
431103021210321013300000
530131302130134114410
6324222105135320000
715214542352106100
oct1523114471076000
9250078314634500
1058490557332480
111770078484a969
126687a41380000
132683836084570
141062d5ad85200
156b671873adc0
hex353264e47c00

58490557332480 has 5280 divisors, whose sum is σ = 283863093212160. Its totient is φ = 11377315676160.

The previous prime is 58490557332409. The next prime is 58490557332481. The reversal of 58490557332480 is 8423375509485.

58490557332480 is a `hidden beast` number, since 5 + 8 + 4 + 9 + 0 + 55 + 73 + 32 + 480 = 666.

It is a super-2 number, since 2×584905573324802 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58490557332481) 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 479 ways as a sum of consecutive naturals, for example, 215832314745 + ... + 215832315015.

It is an arithmetic number, because the mean of its divisors is an integer number (53761949472).

Almost surely, 258490557332480 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 58490557332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141931546606080).

58490557332480 is an abundant number, since it is smaller than the sum of its proper divisors (225372535879680).

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

58490557332480 is a wasteful number, since it uses less digits than its factorization.

58490557332480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 58490557332480 in words is "fifty-eight trillion, four hundred ninety billion, five hundred fifty-seven million, three hundred thirty-two thousand, four hundred eighty".