Search a number
-
+
470665043712 = 283560112589
BaseRepresentation
bin1101101100101011101…
…00101001111100000000
31122222212110022112100000
412312111310221330000
530202410222344322
61000115345200000
746001342601423
oct6662564517400
91588773275300
10470665043712
11171676168676
1277274930000
13354ca7a6186
1418acd2539ba
15c39a5c43ac
hex6d95d29f00

470665043712 has 216 divisors, whose sum is σ = 1409757796720. Its totient is φ = 156614860800.

The previous prime is 470665043711. The next prime is 470665043767. The reversal of 470665043712 is 217340566074.

470665043712 is a `hidden beast` number, since 4 + 70 + 6 + 6 + 504 + 3 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470665043711) 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 23 ways as a sum of consecutive naturals, for example, 37380714 + ... + 37393302.

Almost surely, 2470665043712 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 470665043712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704878898360).

470665043712 is an abundant number, since it is smaller than the sum of its proper divisors (939092753008).

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

470665043712 is an equidigital number, since it uses as much as digits as its factorization.

470665043712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13221 (or 13195 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 470665043712 in words is "four hundred seventy billion, six hundred sixty-five million, forty-three thousand, seven hundred twelve".