Search a number
-
+
18114153008 = 247261521727
BaseRepresentation
bin10000110111101100…
…000000101000110000
31201202101222022111212
4100313230000220300
5244044210344013
612153241055252
71210612521500
oct206754005060
951671868455
1018114153008
117755a70296
123616487528
131928a8b043
14c3ba63a00
157104066a8
hex437b00a30

18114153008 has 120 divisors (see below), whose sum is σ = 41632272864. Its totient is φ = 7610803200.

The previous prime is 18114152899. The next prime is 18114153061. The reversal of 18114153008 is 80035141181.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24915941 + ... + 24916667.

Almost surely, 218114153008 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 18114153008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20816136432).

18114153008 is an abundant number, since it is smaller than the sum of its proper divisors (23518119856).

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

18114153008 is a wasteful number, since it uses less digits than its factorization.

18114153008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 32.

Adding to 18114153008 its reverse (80035141181), we get a palindrome (98149294189).

The spelling of 18114153008 in words is "eighteen billion, one hundred fourteen million, one hundred fifty-three thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 61 98 112 122 196 244 392 427 488 521 727 784 854 976 1042 1454 1708 2084 2908 2989 3416 3647 4168 5089 5816 5978 6832 7294 8336 10178 11632 11956 14588 20356 23912 25529 29176 31781 35623 40712 44347 47824 51058 58352 63562 71246 81424 88694 102116 127124 142492 177388 204232 222467 254248 284984 310429 354776 378767 408464 444934 508496 569968 620858 709552 757534 889868 1241716 1515068 1557269 1779736 2173003 2483432 2651369 3030136 3114538 3559472 4346006 4966864 5302738 6060272 6229076 8692012 10605476 12458152 17384024 18559583 21210952 23104787 24916304 34768048 37119166 42421904 46209574 74238332 92419148 148476664 161733509 184838296 296953328 323467018 369676592 646934036 1132134563 1293868072 2264269126 2587736144 4528538252 9057076504 18114153008