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163426956121 = 1141322572
BaseRepresentation
bin1001100000110100000…
…0010111001101011001
3120121211111122120000201
42120031000113031121
510134144300043441
6203024410502201
714543605130632
oct2301500271531
9517744576021
10163426956121
1163344290000
122780b434961
1312546240100
147ca4ada889
1543b776bc31
hex260d017359

163426956121 has 45 divisors (see below), whose sum is σ = 195420985005. Its totient is φ = 136607877120.

The previous prime is 163426956101. The next prime is 163426956127. The reversal of 163426956121 is 121659624361.

The square root of 163426956121 is 404261.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11623211721 + 151803744400 = 107811^2 + 389620^2 .

It is not a de Polignac number, because 163426956121 - 25 = 163426956089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (163426956127) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 635902425 + ... + 635902681.

Almost surely, 2163426956121 is an apocalyptic number.

163426956121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

163426956121 is the 404261-st square number.

163426956121 is the 202131-st centered octagonal number.

It is an amenable number.

163426956121 is a deficient number, since it is larger than the sum of its proper divisors (31994028884).

163426956121 is an frugal number, since it uses more digits than its factorization.

163426956121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 281 counting only the distinct ones).

The product of its digits is 466560, while the sum is 46.

The spelling of 163426956121 in words is "one hundred sixty-three billion, four hundred twenty-six million, nine hundred fifty-six thousand, one hundred twenty-one".

Divisors: 1 11 13 121 143 169 257 1331 1573 1859 2827 3341 14641 17303 20449 31097 36751 43433 66049 190333 224939 342067 404261 477763 726539 858637 2474329 3762737 4446871 5255393 7991929 9445007 11162281 48915581 57809323 87911219 103895077 122785091 635902553 967023409 1142845847 1350636001 12571304317 14856996011 163426956121