Search a number
-
+
169916152960 = 275265493989
BaseRepresentation
bin1001111000111111001…
…0101011110010000000
3121020120202012220121101
42132033302223302000
510240442013343320
6210020340504144
715163452320101
oct2361762536200
9536522186541
10169916152960
11660742696a4
1228b206ab054
131303b77a958
14831c88c3a8
1546472d6c0a
hex278fcabc80

169916152960 has 32 divisors (see below), whose sum is σ = 406205804700. Its totient is φ = 67966460928.

The previous prime is 169916152937. The next prime is 169916152969. The reversal of 169916152960 is 69251619961.

It is a happy number.

169916152960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 169078860864 + 837292096 = 411192^2 + 28936^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1699161529602 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (169916152969) 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 3 ways as a sum of consecutive naturals, for example, 132746355 + ... + 132747634.

Almost surely, 2169916152960 is an apocalyptic number.

169916152960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

169916152960 is an abundant number, since it is smaller than the sum of its proper divisors (236289651740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

169916152960 is an equidigital number, since it uses as much as digits as its factorization.

169916152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265494008 (or 265493996 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 55.

The spelling of 169916152960 in words is "one hundred sixty-nine billion, nine hundred sixteen million, one hundred fifty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 265493989 530987978 1061975956 1327469945 2123951912 2654939890 4247903824 5309879780 8495807648 10619759560 16991615296 21239519120 33983230592 42479038240 84958076480 169916152960