Search a number
-
+
18946483854480 = 243557133127499
BaseRepresentation
bin1000100111011010100100…
…11100001001110010010000
32111002021012000222012200000
410103231102130021302100
54440404344331320410
6104143521114530000
73663560350363650
oct423552234116220
974067160865600
1018946483854480
116045182224a06
12215bb57136900
13a75851978000
1449702c522360
1522cc9522ddc0
hex113b52709c90

18946483854480 has 1920 divisors, whose sum is σ = 82501386240000. Its totient is φ = 3958075570176.

The previous prime is 18946483854451. The next prime is 18946483854481. The reversal of 18946483854480 is 8445838464981.

18946483854480 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 6 + 48 + 38 + 544 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18946483854399 and 18946483854408.

It is not an unprimeable number, because it can be changed into a prime (18946483854481) 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 383 ways as a sum of consecutive naturals, for example, 37968905271 + ... + 37968905769.

It is an arithmetic number, because the mean of its divisors is an integer number (42969472000).

Almost surely, 218946483854480 is an apocalyptic number.

18946483854480 is a gapful number since it is divisible by the number (10) 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 18946483854480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41250693120000).

18946483854480 is an abundant number, since it is smaller than the sum of its proper divisors (63554902385520).

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

18946483854480 is a wasteful number, since it uses less digits than its factorization.

18946483854480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 849346560, while the sum is 72.

The spelling of 18946483854480 in words is "eighteen trillion, nine hundred forty-six billion, four hundred eighty-three million, eight hundred fifty-four thousand, four hundred eighty".