Search a number
-
+
6180420676608 = 21033223999839
BaseRepresentation
bin101100111101111110111…
…0001110110110000000000
3210212211202010212112222000
41121323331301312300000
51302230000143122413
621051125052144000
71205343404650533
oct131737561666000
923784663775860
106180420676608
111a73113392152
12839982468000
1335aa711a4cc9
141751c3812a1a
15aab7858b073
hex59efdc76c00

6180420676608 has 176 divisors, whose sum is σ = 18311774208000. Its totient is φ = 2059199483904.

The previous prime is 6180420676601. The next prime is 6180420676631. The reversal of 6180420676608 is 8066760240816.

6180420676608 is a `hidden beast` number, since 6 + 1 + 8 + 0 + 4 + 20 + 6 + 7 + 6 + 608 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6180420676601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61853953 + ... + 61953791.

Almost surely, 26180420676608 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 6180420676608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9155887104000).

6180420676608 is an abundant number, since it is smaller than the sum of its proper divisors (12131353531392).

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

6180420676608 is a wasteful number, since it uses less digits than its factorization.

6180420676608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102107 (or 102083 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 6180420676608 in words is "six trillion, one hundred eighty billion, four hundred twenty million, six hundred seventy-six thousand, six hundred eight".