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30680411328 = 2632731389631
BaseRepresentation
bin11100100100101100…
…011110110011000000
32221012011121101020200
4130210230132303000
51000313141130303
622032215405200
72134201123230
oct344454366300
987164541220
1030680411328
1112014324146
125b42983800
132b7c336358
1416b0963cc0
15be872c3a3
hex724b1ecc0

30680411328 has 336 divisors, whose sum is σ = 104176250880. Its totient is φ = 8447846400.

The previous prime is 30680411269. The next prime is 30680411339. The reversal of 30680411328 is 82311408603.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30680411292 and 30680411301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48621573 + ... + 48622203.

Almost surely, 230680411328 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 30680411328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52088125440).

30680411328 is an abundant number, since it is smaller than the sum of its proper divisors (73495839552).

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

30680411328 is a wasteful number, since it uses less digits than its factorization.

30680411328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 30680411328 in words is "thirty billion, six hundred eighty million, four hundred eleven thousand, three hundred twenty-eight".