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164115610406 = 211233741474549
BaseRepresentation
bin1001100011011000001…
…1010111101100100110
3120200121111110211002222
42120312003113230212
510142102044013111
6203221011032342
714566636446236
oct2306603275446
9520544424088
10164115610406
1163667a90180
1227981b9b6b2
1312625b09257
147d2c35dcc6
154407e4c7db
hex26360d7b26

164115610406 has 128 divisors (see below), whose sum is σ = 301161369600. Its totient is φ = 66277094400.

The previous prime is 164115610313. The next prime is 164115610487. The reversal of 164115610406 is 604016511461.

164115610406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 36075020 + ... + 36079568.

It is an arithmetic number, because the mean of its divisors is an integer number (2352823200).

Almost surely, 2164115610406 is an apocalyptic number.

164115610406 is a deficient number, since it is larger than the sum of its proper divisors (137045759194).

164115610406 is a wasteful number, since it uses less digits than its factorization.

164115610406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4710.

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 164115610406 in words is "one hundred sixty-four billion, one hundred fifteen million, six hundred ten thousand, four hundred six".

Divisors: 1 2 11 22 23 37 41 46 47 74 82 94 253 407 451 506 517 814 851 902 943 1034 1081 1517 1702 1739 1886 1927 2162 3034 3478 3854 4549 9098 9361 10373 11891 16687 18722 19129 20746 21197 23782 33374 34891 38258 39997 42394 44321 50039 69782 71299 79994 88642 100078 104627 142598 168313 186509 209254 213803 336626 373018 383801 427606 439967 487531 767602 784289 879934 975062 1150897 1568578 1639877 1851443 2051599 2301794 2351833 3279754 3702886 3871199 4103198 4289707 4703666 4917469 6900833 7742398 7910711 8579414 8765923 9834938 13801666 15821422 17531846 18038647 36077294 42583189 47186777 54092159 75909163 85166378 87017821 94373554 96425153 108184318 151818326 158719159 174035642 181946353 192850306 201616229 317438318 324339151 363892706 403232458 648678302 1745910749 2001409883 2217778519 3491821498 3567730661 4002819766 4435557038 7135461322 7459800473 14919600946 82057805203 164115610406