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166105555956 = 22341193429733
BaseRepresentation
bin1001101010110010101…
…0011010001111110100
3120212202011220112020000
42122230222122033310
510210141010242311
6204150254311300
715000151633614
oct2325452321764
9525664815200
10166105555956
116449928a77a
12282384b8530
1312882173022
14807a75ca44
1544c29c6056
hex26aca9a3f4

166105555956 has 60 divisors (see below), whose sum is σ = 434597729412. Its totient is φ = 55321978752.

The previous prime is 166105555951. The next prime is 166105555963. The reversal of 166105555956 is 659555501661.

166105555956 is a `hidden beast` number, since 16 + 610 + 5 + 5 + 5 + 5 + 9 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95997107556 + 70108448400 = 309834^2 + 264780^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166105555951) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 171666 + ... + 601398.

Almost surely, 2166105555956 is an apocalyptic number.

It is an amenable number.

166105555956 is an abundant number, since it is smaller than the sum of its proper divisors (268492173456).

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

166105555956 is a wasteful number, since it uses less digits than its factorization.

166105555956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430942 (or 430931 counting only the distinct ones).

The product of its (nonzero) digits is 6075000, while the sum is 54.

The spelling of 166105555956 in words is "one hundred sixty-six billion, one hundred five million, five hundred fifty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1193 2386 3579 4772 7158 10737 14316 21474 32211 42948 64422 96633 128844 193266 386532 429733 859466 1289199 1718932 2578398 3867597 5156796 7735194 11602791 15470388 23205582 34808373 46411164 69616746 139233492 512671469 1025342938 1538014407 2050685876 3076028814 4614043221 6152057628 9228086442 13842129663 18456172884 27684259326 41526388989 55368518652 83052777978 166105555956