Search a number
-
+
423832542336 = 27337431812251
BaseRepresentation
bin1100010101011100110…
…00110101110010000000
31111111222121200221222000
412022232120311302000
523421002112323321
6522412254144000
742422652111510
oct6125630656200
91444877627860
10423832542336
1115382346a185
126a1847b2000
1330c760355b8
141672948b840
15b058d5c826
hex62ae635c80

423832542336 has 512 divisors, whose sum is σ = 1471575705600. Its totient is φ = 117573120000.

The previous prime is 423832542307. The next prime is 423832542377. The reversal of 423832542336 is 633245238324.

423832542336 is a `hidden beast` number, since 4 + 23 + 83 + 2 + 542 + 3 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 423832542291 and 423832542300.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 188285211 + ... + 188287461.

It is an arithmetic number, because the mean of its divisors is an integer number (2874171300).

Almost surely, 2423832542336 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 423832542336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735787852800).

423832542336 is an abundant number, since it is smaller than the sum of its proper divisors (1047743163264).

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

423832542336 is a wasteful number, since it uses less digits than its factorization.

423832542336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2487 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 45.

The spelling of 423832542336 in words is "four hundred twenty-three billion, eight hundred thirty-two million, five hundred forty-two thousand, three hundred thirty-six".