Search a number
-
+
474525525474 = 2337111323718251
BaseRepresentation
bin1101110011110111110…
…11001110010111100010
31200100211111111022202000
412321323323032113202
530233312013303344
61001554412504430
746166120262330
oct6717373162742
91610744438660
10474525525474
11173277319770
1277b7177b116
1335994528900
1418d77c4ab50
15c52448aa69
hex6e7bece5e2

474525525474 has 384 divisors, whose sum is σ = 1462169180160. Its totient is φ = 110691360000.

The previous prime is 474525525469. The next prime is 474525525517.

474525525474 is a `hidden beast` number, since 4 + 7 + 45 + 2 + 5 + 52 + 547 + 4 = 666.

474525525474 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 474525525474.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25990849 + ... + 26009099.

It is an arithmetic number, because the mean of its divisors is an integer number (3807732240).

Almost surely, 2474525525474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474525525474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731084590080).

474525525474 is an abundant number, since it is smaller than the sum of its proper divisors (987643654686).

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

474525525474 is a wasteful number, since it uses less digits than its factorization.

474525525474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18343 (or 18324 counting only the distinct ones).

The product of its digits is 31360000, while the sum is 54.

It can be divided in two parts, 474525 and 525474, that added together give a palindrome (999999).

The spelling of 474525525474 in words is "four hundred seventy-four billion, five hundred twenty-five million, five hundred twenty-five thousand, four hundred seventy-four".