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18497920144 = 24114117914321
BaseRepresentation
bin10001001110100011…
…111101110010010000
31202202011002201001111
4101032203331302100
5300340431421034
612255310343104
71223252504224
oct211643756220
952664081044
1018497920144
117932659210
123702abaa94
13198a437aa2
14c76a00784
15733e60364
hex44e8fdc90

18497920144 has 80 divisors (see below), whose sum is σ = 40278047040. Its totient is φ = 8156672000.

The previous prime is 18497920141. The next prime is 18497920159. The reversal of 18497920144 is 44102979481.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (18497920141) 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, 1284504 + ... + 1298824.

It is an arithmetic number, because the mean of its divisors is an integer number (503475588).

Almost surely, 218497920144 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 18497920144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20139023520).

18497920144 is an abundant number, since it is smaller than the sum of its proper divisors (21780126896).

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

18497920144 is a wasteful number, since it uses less digits than its factorization.

18497920144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14560 (or 14554 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 18497920144 in words is "eighteen billion, four hundred ninety-seven million, nine hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 179 328 358 451 656 716 902 1432 1804 1969 2864 3608 3938 7216 7339 7876 14321 14678 15752 28642 29356 31504 57284 58712 80729 114568 117424 157531 161458 229136 315062 322916 587161 630124 645832 1174322 1260248 1291664 2348644 2520496 2563459 4697288 5126918 6458771 9394576 10253836 12917542 20507672 25835084 28198049 41015344 51670168 56396098 103340336 105101819 112792196 210203638 225584392 420407276 451168784 840814552 1156120009 1681629104 2312240018 4624480036 9248960072 18497920144