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30448653312 = 210373113771
BaseRepresentation
bin11100010110111000…
…011001010000000000
32220121000111212000110
4130112320121100000
5444324323401222
621553220151320
72125355166000
oct342670312000
986530455013
1030448653312
1111a0551a9a0
125a99238540
132b4330cb2c
14168bc76000
15bd31ed30c
hex716e19400

30448653312 has 704 divisors, whose sum is σ = 107531366400. Its totient is φ = 7586611200.

The previous prime is 30448653307. The next prime is 30448653337. The reversal of 30448653312 is 21335684403.

It is a tau number, because it is divible by the number of its divisors (704).

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 63 ways as a sum of consecutive naturals, for example, 428854237 + ... + 428854307.

Almost surely, 230448653312 is an apocalyptic number.

30448653312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30448653312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53765683200).

30448653312 is an abundant number, since it is smaller than the sum of its proper divisors (77082713088).

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

30448653312 is a wasteful number, since it uses less digits than its factorization.

30448653312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 30448653312 in words is "thirty billion, four hundred forty-eight million, six hundred fifty-three thousand, three hundred twelve".