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99766276164 = 22326128632
BaseRepresentation
bin101110011101010001…
…0001001000001000100
3100112111212211221102100
41130322202021001010
53113310131314124
6113455413312100
710131205232622
oct1347242110104
9315455757370
1099766276164
1139346509a05
1217403635630
13953c278509
144b85dc0512
1528dd96d1c9
hex173a889044

99766276164 has 81 divisors (see below), whose sum is σ = 256686397149. Its totient is φ = 32672351520.

The previous prime is 99766276153. The next prime is 99766276189. The reversal of 99766276164 is 46167266799.

The square root of 99766276164 is 315858.

It is a perfect power (a square), and thus also a powerful number.

99766276164 is a `hidden beast` number, since 9 + 9 + 7 + 6 + 6 + 2 + 7 + 616 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3244213764 + 96522062400 = 56958^2 + 310680^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 115603597 + ... + 115604459.

Almost surely, 299766276164 is an apocalyptic number.

99766276164 is the 315858-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99766276164

99766276164 is an abundant number, since it is smaller than the sum of its proper divisors (156920120985).

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

99766276164 is an equidigital number, since it uses as much as digits as its factorization.

99766276164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 929 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The spelling of 99766276164 in words is "ninety-nine billion, seven hundred sixty-six million, two hundred seventy-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 863 1098 1726 2196 2589 3452 3721 5178 7442 7767 10356 11163 14884 15534 22326 31068 33489 44652 52643 66978 105286 133956 157929 210572 315858 473787 631716 744769 947574 1489538 1895148 2234307 2979076 3211223 4468614 6422446 6702921 8937228 9633669 12844892 13405842 19267338 26811684 28901007 38534676 45430909 57802014 90861818 115604028 136292727 181723636 272585454 408878181 545170908 817756362 1635512724 2771285449 5542570898 8313856347 11085141796 16627712694 24941569041 33255425388 49883138082 99766276164