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103164288018 = 231129145936943
BaseRepresentation
bin110000000010100010…
…0100001110000010010
3100212021200210211101020
41200011010201300102
53142240024204033
6115220520420310
710311335660001
oct1400504416022
9325250724336
10103164288018
113a82a607570
1217bb1617696
13996125640c
144dc93d0c38
152a3be316b3
hex1805121c12

103164288018 has 64 divisors (see below), whose sum is σ = 233013196800. Its totient is φ = 30162404160.

The previous prime is 103164288001. The next prime is 103164288043. The reversal of 103164288018 is 810882461301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2774055 + ... + 2810997.

It is an arithmetic number, because the mean of its divisors is an integer number (3640831200).

Almost surely, 2103164288018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103164288018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116506598400).

103164288018 is an abundant number, since it is smaller than the sum of its proper divisors (129848908782).

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

103164288018 is a wasteful number, since it uses less digits than its factorization.

103164288018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38447.

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 103164288018 in words is "one hundred three billion, one hundred sixty-four million, two hundred eighty-eight thousand, eighteen".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1459 1914 2918 4377 8754 16049 32098 36943 42311 48147 73886 84622 96294 110829 126933 221658 253866 406373 465421 812746 930842 1071347 1219119 1396263 2142694 2438238 2792526 3214041 6428082 11784817 23569634 35354451 53899837 70708902 107799674 161699511 323399022 592898207 1185796414 1563095273 1778694621 3126190546 3557389242 4689285819 9378571638 17194048003 34388096006 51582144009 103164288018