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4487993055360 = 273254327136679
BaseRepresentation
bin100000101001111000100…
…1110110101100010000000
3120220001021221201102120100
41001103301032311202000
51042012402210232420
613313431110442400
7642150436353123
oct101236116654200
916801257642510
104487993055360
111480390094921
12605977963400
132672a651ca29
14117311a583ba
157bb2294a190
hex414f13b5880

4487993055360 has 384 divisors, whose sum is σ = 15866230723200. Its totient is φ = 1168359800832.

The previous prime is 4487993055349. The next prime is 4487993055367. The reversal of 4487993055360 is 635503997844.

4487993055360 is a `hidden beast` number, since 4 + 4 + 8 + 7 + 9 + 93 + 0 + 5 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (4487993055367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 671952501 + ... + 671959179.

It is an arithmetic number, because the mean of its divisors is an integer number (41318309175).

Almost surely, 24487993055360 is an apocalyptic number.

4487993055360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4487993055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7933115361600).

4487993055360 is an abundant number, since it is smaller than the sum of its proper divisors (11378237667840).

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

4487993055360 is a wasteful number, since it uses less digits than its factorization.

4487993055360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9460 (or 9445 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 4487993055360 in words is "four trillion, four hundred eighty-seven billion, nine hundred ninety-three million, fifty-five thousand, three hundred sixty".