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167132163140 = 22521293925133
BaseRepresentation
bin1001101110100111011…
…0100110110001000100
3120222101201122120112022
42123221312212301010
510214241313210030
6204440210142312
715034455642515
oct2335166466104
9528351576468
10167132163140
1164975826968
1228484281998
13129b6a67ab7
148136c34a0c
154532bb0de5
hex26e9da6c44

167132163140 has 24 divisors (see below), whose sum is σ = 351142487640. Its totient is φ = 66821447168.

The previous prime is 167132163119. The next prime is 167132163203. The reversal of 167132163140 is 41361231761.

167132163140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6690258436 + 160441904704 = 81794^2 + 400552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 167132163140.

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 7 ways as a sum of consecutive naturals, for example, 1919987 + ... + 2005146.

It is an arithmetic number, because the mean of its divisors is an integer number (14630936985).

Almost surely, 2167132163140 is an apocalyptic number.

167132163140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

167132163140 is an abundant number, since it is smaller than the sum of its proper divisors (184010324500).

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

167132163140 is a wasteful number, since it uses less digits than its factorization.

167132163140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3927271 (or 3927269 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 167132163140 in words is "one hundred sixty-seven billion, one hundred thirty-two million, one hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 2129 4258 8516 10645 21290 42580 3925133 7850266 15700532 19625665 39251330 78502660 8356608157 16713216314 33426432628 41783040785 83566081570 167132163140