Search a number
-
+
162056968969 = 7213124392
BaseRepresentation
bin1001011011101101011…
…0010001101100001001
3120111022000202222221211
42112323112101230021
510123343041001334
6202240431133121
714464631336200
oct2267326215411
9514260688854
10162056968969
1162800a30415
12274a86741a1
131238846c41c
147bb4b9c237
154337354a64
hex25bb591b09

162056968969 has 27 divisors (see below), whose sum is σ = 190398990861. Its totient is φ = 137531623320.

The previous prime is 162056968951. The next prime is 162056968973. The reversal of 162056968969 is 969869650261.

The square root of 162056968969 is 402563.

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

162056968969 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 162056968969 - 217 = 162056837897 is a prime.

It is a super-2 number, since 2×1620569689692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (162056968919) 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 26 ways as a sum of consecutive naturals, for example, 369150052 + ... + 369150490.

Almost surely, 2162056968969 is an apocalyptic number.

162056968969 is the 402563-rd square number.

162056968969 is the 201282-nd centered octagonal number.

It is an amenable number.

162056968969 is a deficient number, since it is larger than the sum of its proper divisors (28342021892).

162056968969 is an frugal number, since it uses more digits than its factorization.

162056968969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 67.

The spelling of 162056968969 in words is "one hundred sixty-two billion, fifty-six million, nine hundred sixty-eight thousand, nine hundred sixty-nine".

Divisors: 1 7 49 131 439 917 3073 6419 17161 21511 57509 120127 192721 402563 840889 1349047 2817941 7533679 9443329 25246451 52735753 176725157 369150271 1237076099 3307285081 23150995567 162056968969