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18046392144 = 24311181188833
BaseRepresentation
bin10000110011101001…
…100001011101010000
31201120200110201002020
4100303221201131100
5243424334022034
612142420451440
71206130542114
oct206351413520
951520421066
1018046392144
117720799580
1235b7849b80
131917a24761
14c32a65744
157094be249
hex433a61750

18046392144 has 80 divisors (see below), whose sum is σ = 51139268544. Its totient is φ = 5438361600.

The previous prime is 18046392137. The next prime is 18046392151. The reversal of 18046392144 is 44129364081.

It is an interprime number because it is at equal distance from previous prime (18046392137) and next prime (18046392151).

It is a junction number, because it is equal to n+sod(n) for n = 18046392096 and 18046392105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1152 + ... + 189984.

Almost surely, 218046392144 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 18046392144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25569634272).

18046392144 is an abundant number, since it is smaller than the sum of its proper divisors (33092876400).

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

18046392144 is a wasteful number, since it uses less digits than its factorization.

18046392144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189036 (or 189030 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 18046392144 in words is "eighteen billion, forty-six million, three hundred ninety-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 181 264 362 528 543 724 1086 1448 1991 2172 2896 3982 4344 5973 7964 8688 11946 15928 23892 31856 47784 95568 188833 377666 566499 755332 1132998 1510664 2077163 2265996 3021328 4154326 4531992 6231489 8308652 9063984 12462978 16617304 24925956 33234608 34178773 49851912 68357546 99703824 102536319 136715092 205072638 273430184 375966503 410145276 546860368 751933006 820290552 1127899509 1503866012 1640581104 2255799018 3007732024 4511598036 6015464048 9023196072 18046392144