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12238607568 = 2431139675843
BaseRepresentation
bin10110110010111101…
…00101010011010000
31011120221002200101210
423121132211103100
5200031040420233
65342231500120
7612166306425
oct133136452320
934527080353
1012238607568
115210414010
122456827640
131200718935
148415add4c
154b96a4163
hex2d97a54d0

12238607568 has 80 divisors (see below), whose sum is σ = 34505220096. Its totient is φ = 3707099520.

The previous prime is 12238607539. The next prime is 12238607569. The reversal of 12238607568 is 86570683221.

12238607568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12238607569) 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 15 ways as a sum of consecutive naturals, for example, 2091655 + ... + 2097497.

Almost surely, 212238607568 is an apocalyptic number.

It is an amenable number.

12238607568 is an abundant number, since it is smaller than the sum of its proper divisors (22266612528).

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

12238607568 is a wasteful number, since it uses less digits than its factorization.

12238607568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9832 (or 9826 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 12238607568 in words is "twelve billion, two hundred thirty-eight million, six hundred seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 3967 5843 7934 11686 11901 15868 17529 23372 23802 31736 35058 43637 46744 47604 63472 64273 70116 87274 93488 95208 128546 130911 140232 174548 190416 192819 257092 261822 280464 349096 385638 514184 523644 698192 771276 1028368 1047288 1542552 2094576 3085104 23179181 46358362 69537543 92716724 139075086 185433448 254970991 278150172 370866896 509941982 556300344 764912973 1019883964 1112600688 1529825946 2039767928 3059651892 4079535856 6119303784 12238607568