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162163430961 = 37196133120129
BaseRepresentation
bin1001011100000110110…
…0011001011000110001
3120111120110002211100120
42113001230121120301
510124102314242321
6202255153040453
714500363264050
oct2270154313061
9514513084316
10162163430961
1162856035934
1227518256129
13123a453629c
147bc4d92397
154341883ec6
hex25c1b19631

162163430961 has 64 divisors (see below), whose sum is σ = 265187788800. Its totient is φ = 86083430400.

The previous prime is 162163430959. The next prime is 162163430993. The reversal of 162163430961 is 169034361261.

It is a happy number.

It is not a de Polignac number, because 162163430961 - 21 = 162163430959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (162163430921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8046145 + ... + 8066273.

It is an arithmetic number, because the mean of its divisors is an integer number (4143559200).

Almost surely, 2162163430961 is an apocalyptic number.

It is an amenable number.

162163430961 is a deficient number, since it is larger than the sum of its proper divisors (103024357839).

162163430961 is a wasteful number, since it uses less digits than its factorization.

162163430961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20550.

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 162163430961 in words is "one hundred sixty-two billion, one hundred sixty-three million, four hundred thirty thousand, nine hundred sixty-one".

Divisors: 1 3 7 19 21 57 61 133 183 331 399 427 993 1159 1281 2317 3477 6289 6951 8113 18867 20129 20191 24339 44023 60387 60573 132069 140903 141337 382451 383629 422709 424011 1147353 1150887 1227869 2677157 2685403 3683607 6662699 8031471 8056209 8595083 19988097 23329511 25785249 46638893 69988533 126591281 139916679 163306577 379773843 406424639 489919731 886138967 1219273917 2658416901 2844972473 7722068141 8534917419 23166204423 54054476987 162163430961