Search a number
-
+
470807311716 = 223272172314
BaseRepresentation
bin1101101100111100100…
…11010111010101100100
31200000020101000111100100
412312132103113111210
530203203132433331
61000141430344100
746005021056100
oct6663623272544
91600211014310
10470807311716
111717394a9735
12772b44bb030
13355210c8921
1418b040c8900
15c3a7d27ae6
hex6d9e4d7564

470807311716 has 405 divisors, whose sum is σ = 1519643870745. Its totient is φ = 122519658240.

The previous prime is 470807311651. The next prime is 470807311721. The reversal of 470807311716 is 617113708074.

The square root of 470807311716 is 686154.

It is a perfect power (a square), and thus also a powerful number.

470807311716 is a `hidden beast` number, since 470 + 8 + 0 + 7 + 3 + 1 + 171 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 366545484900 + 104261826816 = 605430^2 + 322896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 15187332621 + ... + 15187332651.

Almost surely, 2470807311716 is an apocalyptic number.

470807311716 is the 686154-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470807311716

470807311716 is an abundant number, since it is smaller than the sum of its proper divisors (1048836559029).

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

470807311716 is an equidigital number, since it uses as much as digits as its factorization.

470807311716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 470807311716 in words is "four hundred seventy billion, eight hundred seven million, three hundred eleven thousand, seven hundred sixteen".