Search a number
-
+
18102334128 = 24317127174679
BaseRepresentation
bin10000110110111110…
…111011001010110000
31201201120201212001120
4100312332323022300
5244033144143003
612152135502240
71210410205224
oct206676731260
951646655046
1018102334128
11774a32861a
123612527980
1319264b0618
14c3a268784
1570e36e853
hex436fbb2b0

18102334128 has 80 divisors (see below), whose sum is σ = 49905377280. Its totient is φ = 5634413568.

The previous prime is 18102334127. The next prime is 18102334139. The reversal of 18102334128 is 82143320181.

It is not an unprimeable number, because it can be changed into a prime (18102334121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16293 + ... + 190971.

It is an arithmetic number, because the mean of its divisors is an integer number (623817216).

Almost surely, 218102334128 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 18102334128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24952688640).

18102334128 is an abundant number, since it is smaller than the sum of its proper divisors (31803043152).

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

18102334128 is a wasteful number, since it uses less digits than its factorization.

18102334128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174834 (or 174828 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 18102334128 in words is "eighteen billion, one hundred two million, three hundred thirty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 127 136 204 254 272 381 408 508 762 816 1016 1524 2032 2159 3048 4318 6096 6477 8636 12954 17272 25908 34544 51816 103632 174679 349358 524037 698716 1048074 1397432 2096148 2794864 2969543 4192296 5939086 8384592 8908629 11878172 17817258 22184233 23756344 35634516 44368466 47512688 66552699 71269032 88736932 133105398 142538064 177473864 266210796 354947728 377131961 532421592 754263922 1064843184 1131395883 1508527844 2262791766 3017055688 4525583532 6034111376 9051167064 18102334128