Search a number
-
+
92428707168 = 2532745847573
BaseRepresentation
bin101011000010100101…
…1100010010101100000
322211120111220211000200
41112011023202111200
53003243222112133
6110243335545200
76451320022320
oct1260513422540
9284514824020
1092428707168
11362206607a6
1215ab622b200
13894004c605
14468b6b1280
15260e6c3913
hex15852e2560

92428707168 has 72 divisors (see below), whose sum is σ = 300393304848. Its totient is φ = 26408201472.

The previous prime is 92428707157. The next prime is 92428707211. The reversal of 92428707168 is 86170782429.

It is a happy number.

92428707168 is a `hidden beast` number, since 92 + 428 + 7 + 0 + 71 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22921771 + ... + 22925802.

It is an arithmetic number, because the mean of its divisors is an integer number (4172129234).

Almost surely, 292428707168 is an apocalyptic number.

It is an amenable number.

92428707168 is an abundant number, since it is smaller than the sum of its proper divisors (207964597680).

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

92428707168 is a wasteful number, since it uses less digits than its factorization.

92428707168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45847596 (or 45847585 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 92428707168 in words is "ninety-two billion, four hundred twenty-eight million, seven hundred seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 45847573 91695146 137542719 183390292 275085438 320933011 366780584 412628157 550170876 641866022 733561168 825256314 962799033 1100341752 1283732044 1467122336 1650512628 1925598066 2200683504 2567464088 2888397099 3301025256 3851196132 4401367008 5134928176 5776794198 6602050512 7702392264 10269856352 11553588396 13204101024 15404784528 23107176792 30809569056 46214353584 92428707168