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161562265161 = 31137507130531
BaseRepresentation
bin1001011001110111011…
…1001000011001001001
3120110000112220102220120
42112131313020121021
510121334414441121
6202115400013453
714446443411063
oct2263567103111
9513015812816
10161562265161
11625777610a0
122738aa61289
1312309b1cb8b
147b691c4733
154308bd5bc6
hex259ddc8649

161562265161 has 16 divisors (see below), whose sum is σ = 235007724288. Its totient is φ = 97913163600.

The previous prime is 161562265043. The next prime is 161562265177.

161562265161 is nontrivially palindromic in base 10.

161562265161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 161562265161 - 229 = 161025394249 is a prime.

It is a super-2 number, since 2×1615622651612 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (161562265961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1172466 + ... + 1302996.

It is an arithmetic number, because the mean of its divisors is an integer number (14687982768).

Almost surely, 2161562265161 is an apocalyptic number.

161562265161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

161562265161 is a deficient number, since it is larger than the sum of its proper divisors (73445459127).

161562265161 is a wasteful number, since it uses less digits than its factorization.

161562265161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168052.

The product of its digits is 129600, while the sum is 42.

The spelling of 161562265161 in words is "one hundred sixty-one billion, five hundred sixty-two million, two hundred sixty-five thousand, one hundred sixty-one".

Divisors: 1 3 11 33 37507 112521 130531 391593 412577 1237731 1435841 4307523 4895826217 14687478651 53854088387 161562265161