Search a number
-
+
269030108160 = 21034511173469
BaseRepresentation
bin1111101010001101110…
…0011010110000000000
3221201102011121111220000
43322203130122300000
513401433201430120
6323331332520000
725302550121442
oct3724334326000
9851364544800
10269030108160
11a4105534170
1244181780000
131c4a583b918
14d041d86492
156ee884e990
hex3ea371ac00

269030108160 has 880 divisors, whose sum is σ = 1113878161440. Its totient is φ = 61365288960.

The previous prime is 269030108141. The next prime is 269030108161. The reversal of 269030108160 is 61801030962.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (269030108161) 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 79 ways as a sum of consecutive naturals, for example, 77550906 + ... + 77554374.

It is an arithmetic number, because the mean of its divisors is an integer number (1265770638).

Almost surely, 2269030108160 is an apocalyptic number.

269030108160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 269030108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556939080720).

269030108160 is an abundant number, since it is smaller than the sum of its proper divisors (844848053280).

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

269030108160 is a wasteful number, since it uses less digits than its factorization.

269030108160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 269030108160 in words is "two hundred sixty-nine billion, thirty million, one hundred eight thousand, one hundred sixty".