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110093693424 = 243111329797001
BaseRepresentation
bin110011010001000011…
…0000111000111110000
3101112011121201002120220
41212202012013013300
53300432441142144
6122324253533040
710645136645061
oct1464206070760
9345147632526
10110093693424
11427660243a0
12194061a4180
13a4c6a42cc0
145485812568
152ce5453919
hex19a21871f0

110093693424 has 320 divisors, whose sum is σ = 350077593600. Its totient is φ = 29352960000.

The previous prime is 110093693417. The next prime is 110093693459. The reversal of 110093693424 is 424396390011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15721924 + ... + 15728924.

It is an arithmetic number, because the mean of its divisors is an integer number (1093992480).

Almost surely, 2110093693424 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 110093693424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175038796800).

110093693424 is an abundant number, since it is smaller than the sum of its proper divisors (239983900176).

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

110093693424 is a wasteful number, since it uses less digits than its factorization.

110093693424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7144 (or 7138 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 110093693424 in words is "one hundred ten billion, ninety-three million, six hundred ninety-three thousand, four hundred twenty-four".