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30325283640 = 233251919922279
BaseRepresentation
bin11100001111100001…
…110001101100111000
32220021102101000122100
4130033201301230320
5444101233034030
621533052023400
72122326441441
oct341741615470
986242330570
1030325283640
1111951917493
125a63a61b60
132b238a6222
1416797202c8
15bc747e360
hex70f871b38

30325283640 has 192 divisors, whose sum is σ = 104270400000. Its totient is φ = 7622284032.

The previous prime is 30325283627. The next prime is 30325283663. The reversal of 30325283640 is 4638252303.

It is a happy number.

30325283640 is a `hidden beast` number, since 3 + 0 + 3 + 2 + 5 + 2 + 8 + 3 + 640 = 666.

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 = 30325283595 and 30325283604.

It is a congruent number.

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, 1350021 + ... + 1372299.

It is an arithmetic number, because the mean of its divisors is an integer number (543075000).

Almost surely, 230325283640 is an apocalyptic number.

30325283640 is a gapful number since it is divisible by the number (30) 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 30325283640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52135200000).

30325283640 is an abundant number, since it is smaller than the sum of its proper divisors (73945116360).

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

30325283640 is a wasteful number, since it uses less digits than its factorization.

30325283640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22514 (or 22507 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 30325283640 in words is "thirty billion, three hundred twenty-five million, two hundred eighty-three thousand, six hundred forty".