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162642134063343 = 31110161779088363
BaseRepresentation
bin100100111110110000010010…
…101000000101100011101111
3210022212102202222002010202210
4210332300102220011203233
5132304212042310011333
61333524433115421503
746154335462232634
oct4476602250054357
9708772688063683
10162642134063343
1147906161675010
12162a9175754893
136c9a11a121a0c
142c23cc804218b
1513c0a661e9a63
hex93ec12a058ef

162642134063343 has 32 divisors (see below), whose sum is σ = 239299877428992. Its totient is φ = 97436861984000.

The previous prime is 162642134063333. The next prime is 162642134063359. The reversal of 162642134063343 is 343360431246261.

It is not a de Polignac number, because 162642134063343 - 29 = 162642134062831 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 162642134063292 and 162642134063301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162642134063333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37487721 + ... + 41600642.

It is an arithmetic number, because the mean of its divisors is an integer number (7478121169656).

Almost surely, 2162642134063343 is an apocalyptic number.

162642134063343 is a deficient number, since it is larger than the sum of its proper divisors (76657743365649).

162642134063343 is a wasteful number, since it uses less digits than its factorization.

162642134063343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79089095.

The product of its (nonzero) digits is 4478976, while the sum is 48.

The spelling of 162642134063343 in words is "one hundred sixty-two trillion, six hundred forty-two billion, one hundred thirty-four million, sixty-three thousand, three hundred forty-three".

Divisors: 1 3 11 33 101 303 617 1111 1851 3333 6787 20361 62317 186951 685487 2056461 79088363 237265089 869971993 2609915979 7987924663 23963773989 48797519971 87867171293 146392559913 263601513879 536772719681 1610318159043 4928549517071 14785648551213 54214044687781 162642134063343