Search a number
-
+
473415035904 = 21032532773499
BaseRepresentation
bin1101110001110011011…
…11000010110000000000
31200020222002220121102200
412320321233002300000
530224023222122104
61001252303113200
746126444260366
oct6707157026000
91606862817380
10473415035904
1117285749a498
12779018a2800
13358484445a5
1418cb057b636
15c4abc31b39
hex6e39bc2c00

473415035904 has 264 divisors, whose sum is σ = 1398195162000. Its totient is φ = 154224525312.

The previous prime is 473415035887. The next prime is 473415035909. The reversal of 473415035904 is 409530514374.

473415035904 is a `hidden beast` number, since 4 + 7 + 3 + 4 + 1 + 50 + 3 + 590 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 473415035904.

It is not an unprimeable number, because it can be changed into a prime (473415035909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135298347 + ... + 135301845.

Almost surely, 2473415035904 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 473415035904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699097581000).

473415035904 is an abundant number, since it is smaller than the sum of its proper divisors (924780126096).

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

473415035904 is a wasteful number, since it uses less digits than its factorization.

473415035904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855 (or 3834 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 473415035904 in words is "four hundred seventy-three billion, four hundred fifteen million, thirty-five thousand, nine hundred four".