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3445203371688 = 233213171043320753
BaseRepresentation
bin110010001000100110000…
…111111000011010101000
3110012100200010221212000100
4302020212013320122220
5422421234030343223
611154412104505400
7503623231322541
oct62104607703250
913170603855010
103445203371688
11110911453a2a1
1247785377b260
131bcb5c247250
14bca6a7474c8
155e93e84e043
hex322261f86a8

3445203371688 has 192 divisors, whose sum is σ = 10641131177040. Its totient is φ = 997562253312.

The previous prime is 3445203371681. The next prime is 3445203371699. The reversal of 3445203371688 is 8861733025443.

It is a happy number.

3445203371688 is a `hidden beast` number, since 3 + 4 + 4 + 5 + 203 + 371 + 68 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1473936827364 + 1971266544324 = 1214058^2 + 1404018^2 .

It is not an unprimeable number, because it can be changed into a prime (3445203371681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165999520 + ... + 166020272.

Almost surely, 23445203371688 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 3445203371688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5320565588520).

3445203371688 is an abundant number, since it is smaller than the sum of its proper divisors (7195927805352).

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

3445203371688 is a wasteful number, since it uses less digits than its factorization.

3445203371688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31228 (or 31221 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 3445203371688 in words is "three trillion, four hundred forty-five billion, two hundred three million, three hundred seventy-one thousand, six hundred eighty-eight".