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18349277128 = 23713531094363
BaseRepresentation
bin10001000101101100…
…111011111111001000
31202100210101212011121
4101011230323333020
5300034403332003
612232440405024
71216466165530
oct210554737710
952323355147
1018349277128
117866763546
123681176774
1319656c2740
14c60d8a4c0
15725d9ccbd
hex445b3bfc8

18349277128 has 128 divisors (see below), whose sum is σ = 43549228800. Its totient is φ = 7055133696.

The previous prime is 18349277083. The next prime is 18349277173. The reversal of 18349277128 is 82177294381.

It is an interprime number because it is at equal distance from previous prime (18349277083) and next prime (18349277173).

It is a super-2 number, since 2×183492771282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4203475 + ... + 4207837.

It is an arithmetic number, because the mean of its divisors is an integer number (340228350).

Almost surely, 218349277128 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 18349277128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21774614400).

18349277128 is an abundant number, since it is smaller than the sum of its proper divisors (25199951672).

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

18349277128 is a wasteful number, since it uses less digits than its factorization.

18349277128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551 (or 4547 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 52.

The spelling of 18349277128 in words is "eighteen billion, three hundred forty-nine million, two hundred seventy-seven thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 53 56 91 104 106 109 182 212 218 364 371 424 436 689 728 742 763 872 1378 1417 1484 1526 2756 2834 2968 3052 4363 4823 5512 5668 5777 6104 8726 9646 9919 11336 11554 17452 19292 19838 23108 30541 34904 38584 39676 40439 46216 56719 61082 75101 79352 80878 113438 122164 150202 161756 226876 231239 244328 300404 323512 397033 453752 462478 475567 525707 600808 794066 924956 951134 1051414 1588132 1618673 1849912 1902268 2102828 3006107 3176264 3237346 3328969 3804536 4205656 6012214 6182371 6474692 6657938 12024428 12364742 12949384 13315876 21042749 24048856 24729484 25205051 26631752 42085498 43276597 49458968 50410102 84170996 86553194 100820204 168341992 173106388 176435357 201640408 327665663 346212776 352870714 655331326 705741428 1310662652 1411482856 2293659641 2621325304 4587319282 9174638564 18349277128