Search a number
-
+
1123680064380 = 22351959711671409
BaseRepresentation
bin10000010110100000100…
…011010001001101111100
310222102102012021200021020
4100112200203101031330
5121402244044030010
62220113403304140
7144116560645056
oct20264043211574
93872365250236
101123680064380
113a3606113935
1216193a21b050
1381c68a167a3
143c55a4208d6
151e369846470
hex105a08d137c

1123680064380 has 384 divisors, whose sum is σ = 3438360576000. Its totient is φ = 273293475840.

The previous prime is 1123680064369. The next prime is 1123680064387. The reversal of 1123680064380 is 834600863211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123680064387) 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 127 ways as a sum of consecutive naturals, for example, 797501116 + ... + 797502524.

It is an arithmetic number, because the mean of its divisors is an integer number (8954064000).

Almost surely, 21123680064380 is an apocalyptic number.

1123680064380 is a gapful number since it is divisible by the number (10) 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 1123680064380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719180288000).

1123680064380 is an abundant number, since it is smaller than the sum of its proper divisors (2314680511620).

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

1123680064380 is a wasteful number, since it uses less digits than its factorization.

1123680064380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 1123680064380 in words is "one trillion, one hundred twenty-three billion, six hundred eighty million, sixty-four thousand, three hundred eighty".