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166225620366 = 233133116346861
BaseRepresentation
bin1001101011001111010…
…0011010110110001110
3120220001112211102122000
42122303310122312032
510210412224322431
6204210223533130
715003140313621
oct2326364326616
9526045742560
10166225620366
1164550035963
122827075a1a6
13128a0cc0360
14808c693db8
1544cd2e09e6
hex26b3d1ad8e

166225620366 has 128 divisors (see below), whose sum is σ = 413165383680. Its totient is φ = 49191753600.

The previous prime is 166225620299. The next prime is 166225620371. The reversal of 166225620366 is 663026522661.

166225620366 is a `hidden beast` number, since 1 + 6 + 6 + 22 + 562 + 0 + 3 + 66 = 666.

166225620366 is digitally balanced in base 3, 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3523776 + ... + 3570636.

It is an arithmetic number, because the mean of its divisors is an integer number (3227854560).

Almost surely, 2166225620366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166225620366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206582691840).

166225620366 is an abundant number, since it is smaller than the sum of its proper divisors (246939763314).

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

166225620366 is a wasteful number, since it uses less digits than its factorization.

166225620366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47079 (or 47073 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 166225620366 in words is "one hundred sixty-six billion, two hundred twenty-five million, six hundred twenty thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 117 163 186 234 279 326 351 403 489 558 702 806 837 978 1209 1467 1674 2119 2418 2934 3627 4238 4401 5053 6357 7254 8802 10106 10881 12714 15159 19071 21762 30318 38142 45477 46861 57213 65689 90954 93722 114426 131378 136431 140583 197067 272862 281166 394134 421749 591201 609193 843498 1182402 1218386 1265247 1452691 1773603 1827579 2530494 2905382 3547206 3655158 4358073 5482737 7638343 8716146 10965474 13074219 15276686 16448211 18884983 22915029 26148438 32896422 37769966 39222657 45830058 56654949 68745087 78445314 99298459 113309898 137490174 169964847 198596918 206235261 236788633 297895377 339929694 412470522 473577266 509894541 595790754 710365899 893686131 1019789082 1420731798 1787372262 2131097697 2681058393 3078252229 4262195394 5362116786 6156504458 6393293091 9234756687 12786586182 18469513374 27704270061 55408540122 83112810183 166225620366