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30065656500 = 22325311255217
BaseRepresentation
bin11100000000000011…
…011000001010110100
32212121022211121011100
4130000003120022310
5443033302002000
621451215210100
72113024602135
oct340003301264
985538747140
1030065656500
1111829308800
1259b0b16930
132ab1b728b9
141653059c8c
15bae797a00
hex7000d82b4

30065656500 has 216 divisors, whose sum is σ = 104255338824. Its totient is φ = 7288512000.

The previous prime is 30065656441. The next prime is 30065656501. The reversal of 30065656500 is 565656003.

It is a happy number.

30065656500 is a `hidden beast` number, since 30 + 0 + 6 + 565 + 65 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 483032484 + 29582624016 = 21978^2 + 171996^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30065656501) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 516892 + ... + 572108.

Almost surely, 230065656500 is an apocalyptic number.

30065656500 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 30065656500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52127669412).

30065656500 is an abundant number, since it is smaller than the sum of its proper divisors (74189682324).

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

30065656500 is a wasteful number, since it uses less digits than its factorization.

30065656500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55264 (or 55238 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 30065656500 in words is "thirty billion, sixty-five million, six hundred fifty-six thousand, five hundred".