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105228533768 = 231146892
BaseRepresentation
bin110001000000000011…
…1000000000000001000
3101001121120001101012112
41202000013000000020
53211002001040033
6120201420401452
710413442531121
oct1420007000010
9331546041175
10105228533768
1140699844996
12184889a6288
139bccb060c7
145143611048
152b0d284c48
hex18801c0008

105228533768 has 12 divisors (see below), whose sum is σ = 197305221165. Its totient is φ = 52613808128.

The previous prime is 105228533717. The next prime is 105228533783. The reversal of 105228533768 is 867335822501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 71129956804 + 34098576964 = 266702^2 + 184658^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=229378.

It is a super-2 number, since 2×1052285337682 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 860168 + ... + 974856.

Almost surely, 2105228533768 is an apocalyptic number.

It is an amenable number.

105228533768 is a deficient number, since it is larger than the sum of its proper divisors (92076687397).

105228533768 is an frugal number, since it uses more digits than its factorization.

105228533768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229384 (or 114691 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 50.

Multiplying 105228533768 by its sum of digits (50), we get a square (5261426688400 = 22937802).

The spelling of 105228533768 in words is "one hundred five billion, two hundred twenty-eight million, five hundred thirty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 114689 229378 458756 917512 13153566721 26307133442 52614266884 105228533768