Search a number
-
+
74468086447 = 2331790113219
BaseRepresentation
bin100010101011010100…
…1001101001010101111
321010012210211202012211
41011112221031022233
52210002312231242
654113221311251
75244250201516
oct1052651151257
9233183752184
1074468086447
11296443255a7
1212523265527
13703a0291a1
1438661b567d
151e0c9e8317
hex1156a4d2af

74468086447 has 16 divisors (see below), whose sum is σ = 80228689920. Its totient is φ = 68918652000.

The previous prime is 74468086423. The next prime is 74468086481.

It is a happy number.

74468086447 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 74468086447 - 211 = 74468084399 is a prime.

It is a super-3 number, since 3×744680864473 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 74468086391 and 74468086400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74468086547) 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 15 ways as a sum of consecutive naturals, for example, 5626804 + ... + 5640022.

It is an arithmetic number, because the mean of its divisors is an integer number (5014293120).

Almost surely, 274468086447 is an apocalyptic number.

74468086447 is a deficient number, since it is larger than the sum of its proper divisors (5760603473).

74468086447 is a wasteful number, since it uses less digits than its factorization.

74468086447 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21174.

The product of its (nonzero) digits is 28901376, while the sum is 58.

The spelling of 74468086447 in words is "seventy-four billion, four hundred sixty-eight million, eighty-six thousand, four hundred forty-seven".

Divisors: 1 23 31 713 7901 13219 181723 244931 304037 409789 5633413 9425147 104443319 2402196337 3237742889 74468086447