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832661116434 = 2327193111219731
BaseRepresentation
bin11000001110111100111…
…10000101011000010010
32221121020120210100211200
430013132132011120102
5102120242221211214
61434304053252030
7114105055465560
oct14073636053022
92847216710750
10832661116434
112a1147546a04
12115460634016
136069a762884
142c42dda0a30
15169d586ed09
hexc1de785612

832661116434 has 96 divisors (see below), whose sum is σ = 2240356085760. Its totient is φ = 218111551200.

The previous prime is 832661116429. The next prime is 832661116477. The reversal of 832661116434 is 434611166238.

832661116434 is a `hidden beast` number, since 8 + 3 + 26 + 611 + 1 + 6 + 4 + 3 + 4 = 666.

It is a super-2 number, since 2×8326611164342 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 832661116434.

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 47 ways as a sum of consecutive naturals, for example, 5535652 + ... + 5684079.

It is an arithmetic number, because the mean of its divisors is an integer number (23337042560).

Almost surely, 2832661116434 is an apocalyptic number.

832661116434 is an abundant number, since it is smaller than the sum of its proper divisors (1407694969326).

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

832661116434 is a wasteful number, since it uses less digits than its factorization.

832661116434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11219796 (or 11219793 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 832661116434 in words is "eight hundred thirty-two billion, six hundred sixty-one million, one hundred sixteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 31 38 42 57 62 63 93 114 126 133 171 186 217 266 279 342 399 434 558 589 651 798 1178 1197 1302 1767 1953 2394 3534 3906 4123 5301 8246 10602 12369 24738 37107 74214 11219731 22439462 33659193 67318386 78538117 100977579 157076234 201955158 213174889 235614351 347811661 426349778 471228702 639524667 695623322 706843053 1043434983 1279049334 1413686106 1492224223 1918574001 2086869966 2434681627 2984448446 3130304949 3837148002 4476672669 4869363254 6260609898 6608421559 7304044881 8953345338 13216843118 13430018007 14608089762 19825264677 21912134643 26860036014 39650529354 43824269286 46258950913 59475794031 92517901826 118951588062 138776852739 277553705478 416330558217 832661116434