Search a number
-
+
12352023648 = 253242888971
BaseRepresentation
bin10111000000011110…
…01110110001100000
31011212211111211000100
423200033032301200
5200244104224043
65401402422400
7615044316516
oct134017166140
934784454010
1012352023648
115269439208
122488801a00
13121b078b43
148526944b6
154c4608cd3
hex2e03cec60

12352023648 has 36 divisors (see below), whose sum is σ = 35126068068. Its totient is φ = 4117341120.

The previous prime is 12352023643. The next prime is 12352023653. The reversal of 12352023648 is 84632025321.

12352023648 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 2 + 0 + 2 + 3 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (12352023643) and next prime (12352023653).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12352023643) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21444198 + ... + 21444773.

It is an arithmetic number, because the mean of its divisors is an integer number (975724113).

Almost surely, 212352023648 is an apocalyptic number.

12352023648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12352023648 is an abundant number, since it is smaller than the sum of its proper divisors (22774044420).

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

12352023648 is a wasteful number, since it uses less digits than its factorization.

12352023648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42888987 (or 42888976 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 12352023648 its reverse (84632025321), we get a palindrome (96984048969).

The spelling of 12352023648 in words is "twelve billion, three hundred fifty-two million, twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 42888971 85777942 128666913 171555884 257333826 343111768 386000739 514667652 686223536 772001478 1029335304 1372447072 1544002956 2058670608 3088005912 4117341216 6176011824 12352023648