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18441268624 = 242371969697
BaseRepresentation
bin10001001011001011…
…110110110110010000
31202121012111111210001
4101023023312312100
5300231431043444
612245524215344
71221664124362
oct211313666620
952535444701
1018441268624
117903685079
1236a7b3a554
13197b790c8c
14c6d294d32
1572debe8d4
hex44b2f6d90

18441268624 has 40 divisors (see below), whose sum is σ = 37335824640. Its totient is φ = 8807344128.

The previous prime is 18441268609. The next prime is 18441268627. The reversal of 18441268624 is 42686214481.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (18441268627) 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 7 ways as a sum of consecutive naturals, for example, 229744 + ... + 299440.

It is an arithmetic number, because the mean of its divisors is an integer number (933395616).

Almost surely, 218441268624 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 18441268624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18667912320).

18441268624 is an abundant number, since it is smaller than the sum of its proper divisors (18894556016).

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

18441268624 is a wasteful number, since it uses less digits than its factorization.

18441268624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70447 (or 70441 counting only the distinct ones).

The product of its digits is 589824, while the sum is 46.

The spelling of 18441268624 in words is "eighteen billion, four hundred forty-one million, two hundred sixty-eight thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 719 1438 2876 5752 11504 16537 33074 66148 69697 132296 139394 264592 278788 557576 1115152 1603031 3206062 6412124 12824248 25648496 50112143 100224286 200448572 400897144 801794288 1152579289 2305158578 4610317156 9220634312 18441268624