Search a number
-
+
20180319336576 = 27357400723131
BaseRepresentation
bin1001001011010100110001…
…10000111111100010000000
32122110012221011002220100000
410211222120300333202000
510121113243222232301
6110530413303200000
74151660061055260
oct445523060774200
978405834086300
1020180319336576
116480475190543
12231b0b8146000
13b34cc4136529
144daa386217a0
1524ee0a61c786
hex125a98c3f880

20180319336576 has 384 divisors, whose sum is σ = 68845006863360. Its totient is φ = 5764117386240.

The previous prime is 20180319336563. The next prime is 20180319336599. The reversal of 20180319336576 is 67563391308102.

20180319336576 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 0 + 31 + 9 + 3 + 36 + 576 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 872424531 + ... + 872447661.

It is an arithmetic number, because the mean of its divisors is an integer number (179283872040).

Almost surely, 220180319336576 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 20180319336576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34422503431680).

20180319336576 is an abundant number, since it is smaller than the sum of its proper divisors (48664687526784).

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

20180319336576 is an equidigital number, since it uses as much as digits as its factorization.

20180319336576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27174 (or 27150 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 20180319336576 in words is "twenty trillion, one hundred eighty billion, three hundred nineteen million, three hundred thirty-six thousand, five hundred seventy-six".