Search a number
-
+
17980419680 = 255112377623
BaseRepresentation
bin10000101111101101…
…110110111001100000
31201102002022221212122
4100233231312321200
5243310441412210
612132102443412
71204400021426
oct205755667140
951362287778
1017980419680
117697529483
123599733568
1319071661b2
14c27db1116
157037dbb55
hex42fb76e60

17980419680 has 24 divisors (see below), whose sum is σ = 42478741872. Its totient is φ = 7192167808.

The previous prime is 17980419577. The next prime is 17980419683. The reversal of 17980419680 is 8691408971.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17980419683) 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 3 ways as a sum of consecutive naturals, for example, 56188652 + ... + 56188971.

It is an arithmetic number, because the mean of its divisors is an integer number (1769947578).

Almost surely, 217980419680 is an apocalyptic number.

17980419680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17980419680 is an abundant number, since it is smaller than the sum of its proper divisors (24498322192).

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

17980419680 is a wasteful number, since it uses less digits than its factorization.

17980419680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112377638 (or 112377630 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 53.

The spelling of 17980419680 in words is "seventeen billion, nine hundred eighty million, four hundred nineteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 112377623 224755246 449510492 561888115 899020984 1123776230 1798041968 2247552460 3596083936 4495104920 8990209840 17980419680