Search a number
-
+
110053592688 = 2431319293741211
BaseRepresentation
bin110011001111110110…
…1001000111001110000
3101112001211020202201110
41212133231020321300
53300342204431223
6122320302233320
710644142050234
oct1463755107160
9345054222643
10110053592688
1142745425096
12193b4885840
13a4bb642660
1454803745c4
152ce1b81d93
hex199fb48e70

110053592688 has 640 divisors, whose sum is σ = 352427443200. Its totient is φ = 29262643200.

The previous prime is 110053592639. The next prime is 110053592689. The reversal of 110053592688 is 886295350011.

It is a happy number.

It is a super-2 number, since 2×1100535926882 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110053592689) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 521580903 + ... + 521581113.

It is an arithmetic number, because the mean of its divisors is an integer number (550667880).

Almost surely, 2110053592688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110053592688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176213721600).

110053592688 is an abundant number, since it is smaller than the sum of its proper divisors (242373850512).

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

110053592688 is a wasteful number, since it uses less digits than its factorization.

110053592688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 110053592688 in words is "one hundred ten billion, fifty-three million, five hundred ninety-two thousand, six hundred eighty-eight".