Search a number
-
+
23446464432 = 243488468009
BaseRepresentation
bin10101110101100001…
…001010011110110000
32020112000122210122120
4111311201022132300
5341004243330212
614434323034240
71460011442106
oct256541123660
966460583576
1023446464432
119a41a10836
12466420b980
13229871b7c1
1411c5d09c76
1592360088c
hex57584a7b0

23446464432 has 20 divisors (see below), whose sum is σ = 60570033240. Its totient is φ = 7815488128.

The previous prime is 23446464421. The next prime is 23446464463.

23446464432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×234464644322 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 3 ways as a sum of consecutive naturals, for example, 244233957 + ... + 244234052.

It is an arithmetic number, because the mean of its divisors is an integer number (3028501662).

Almost surely, 223446464432 is an apocalyptic number.

It is an amenable number.

23446464432 is an abundant number, since it is smaller than the sum of its proper divisors (37123568808).

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

23446464432 is a wasteful number, since it uses less digits than its factorization.

23446464432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488468020 (or 488468014 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

The spelling of 23446464432 in words is "twenty-three billion, four hundred forty-six million, four hundred sixty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 488468009 976936018 1465404027 1953872036 2930808054 3907744072 5861616108 7815488144 11723232216 23446464432