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352422401980 = 22511293114911959
BaseRepresentation
bin1010010000011100000…
…00110001011110111100
31020200122220220222011211
411020032000301132330
521233230113330410
6425522311054204
734314232663465
oct5101600613674
91220586828154
10352422401980
11126509292860
1258375671364
13273056cba8c
14130b3483d6c
159279a5268a
hex520e0317bc

352422401980 has 192 divisors, whose sum is σ = 868008960000. Its totient is φ = 118929484800.

The previous prime is 352422401963. The next prime is 352422402029. The reversal of 352422401980 is 89104224253.

It is a super-3 number, since 3×3524224019803 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 29463241 + ... + 29475199.

It is an arithmetic number, because the mean of its divisors is an integer number (4520880000).

Almost surely, 2352422401980 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 352422401980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434004480000).

352422401980 is an abundant number, since it is smaller than the sum of its proper divisors (515586558020).

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

352422401980 is a wasteful number, since it uses less digits than its factorization.

352422401980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12188 (or 12186 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 352422401980 in words is "three hundred fifty-two billion, four hundred twenty-two million, four hundred one thousand, nine hundred eighty".