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166968465156 = 22341636614783
BaseRepresentation
bin1001101110000000011…
…0001001011100000100
3120221222022121212010000
42123200012021130010
510213422411341111
6204412041401300
715030430352103
oct2334006113404
9527868555100
10166968465156
11648a1389179
1228439499230
131298bb8109c
14811d1c203a
154523627c56
hex26e0189704

166968465156 has 120 divisors (see below), whose sum is σ = 439922747264. Its totient is φ = 55219475520.

The previous prime is 166968465143. The next prime is 166968465173. The reversal of 166968465156 is 651564869661.

166968465156 is a `hidden beast` number, since 1 + 6 + 69 + 68 + 465 + 1 + 56 = 666.

It is a super-2 number, since 2×1669684651562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 166968465093 and 166968465102.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34906341 + ... + 34911123.

Almost surely, 2166968465156 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 166968465156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219961373632).

166968465156 is an abundant number, since it is smaller than the sum of its proper divisors (272954282108).

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

166968465156 is a wasteful number, since it uses less digits than its factorization.

166968465156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5623 (or 5612 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The spelling of 166968465156 in words is "one hundred sixty-six billion, nine hundred sixty-eight million, four hundred sixty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 163 324 326 489 652 661 978 1322 1467 1956 1983 2644 2934 3966 4401 4783 5868 5949 7932 8802 9566 11898 13203 14349 17604 17847 19132 23796 26406 28698 35694 43047 52812 53541 57396 71388 86094 107082 107743 129141 172188 214164 215486 258282 323229 387423 430972 516564 646458 774846 779629 969687 1292916 1549692 1559258 1939374 2338887 2909061 3118516 3161563 3878748 4677774 5818122 6323126 7016661 8727183 9355548 9484689 11636244 12646252 14033322 17454366 18969378 21049983 28066644 28454067 34908732 37938756 42099966 56908134 63149949 84199932 85362201 113816268 126299898 170724402 252599796 256086603 341448804 512173206 515334769 1024346412 1030669538 1546004307 2061339076 3092008614 4638012921 6184017228 9276025842 13914038763 18552051684 27828077526 41742116289 55656155052 83484232578 166968465156