Search a number
-
+
423603937152 = 2732111721031123
BaseRepresentation
bin1100010101000001100…
…00110001111110000000
31111111101200112121121100
412022200300301332000
523420020101442102
6522333450254400
742414205025214
oct6124060617600
91444350477540
10423603937152
11153716419780
126a120127400
1330c3a874166
1416706d80944
15b043c52a1c
hex62a0c31f80

423603937152 has 576 divisors, whose sum is σ = 1427587724160. Its totient is φ = 119534469120.

The previous prime is 423603937147. The next prime is 423603937153. The reversal of 423603937152 is 251739306324.

423603937152 is a `hidden beast` number, since 4 + 2 + 3 + 603 + 9 + 37 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4236039371522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 423603937098 and 423603937107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423603937153) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 377206863 + ... + 377207985.

It is an arithmetic number, because the mean of its divisors is an integer number (2478450910).

Almost surely, 2423603937152 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 423603937152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713793862080).

423603937152 is an abundant number, since it is smaller than the sum of its proper divisors (1003983787008).

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

423603937152 is a wasteful number, since it uses less digits than its factorization.

423603937152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 423603937152 in words is "four hundred twenty-three billion, six hundred three million, nine hundred thirty-seven thousand, one hundred fifty-two".