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348648425216 = 287313437103
BaseRepresentation
bin1010001001011010001…
…00001100011100000000
31020022220220112002022122
411010231010030130000
521203012444101331
6424100013423412
734121555501000
oct5045504143400
91208826462278
10348648425216
11124951a461a3
12576a179ab68
1326b53876530
1412c36168000
15910857717b
hex512d10c700

348648425216 has 288 divisors, whose sum is σ = 894467481600. Its totient is φ = 134700281856.

The previous prime is 348648425197. The next prime is 348648425227. The reversal of 348648425216 is 612524846843.

It is a happy number.

It is a super-3 number, since 3×3486484252163 (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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49081121 + ... + 49088223.

Almost surely, 2348648425216 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 348648425216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447233740800).

348648425216 is an abundant number, since it is smaller than the sum of its proper divisors (545819056384).

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

348648425216 is an equidigital number, since it uses as much as digits as its factorization.

348648425216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7196 (or 7168 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 53.

The spelling of 348648425216 in words is "three hundred forty-eight billion, six hundred forty-eight million, four hundred twenty-five thousand, two hundred sixteen".