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30713332608 = 2732717224041
BaseRepresentation
bin11100100110101010…
…000100001110000000
32221021110112221202100
4130212222010032000
51000400103120413
622035353150400
72135051006520
oct344652041600
987243487670
1030713332608
111203096a412
125b519bb400
132b860c1bba
1416b5093680
15beb581a73
hex726a84380

30713332608 has 192 divisors, whose sum is σ = 106948689120. Its totient is φ = 8259010560.

The previous prime is 30713332571. The next prime is 30713332609. The reversal of 30713332608 is 80623331703.

It is a happy number.

30713332608 is a `hidden beast` number, since 3 + 0 + 7 + 13 + 3 + 32 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (30713332609) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 25068 + ... + 249108.

Almost surely, 230713332608 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 30713332608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53474344560).

30713332608 is an abundant number, since it is smaller than the sum of its proper divisors (76235356512).

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

30713332608 is a wasteful number, since it uses less digits than its factorization.

30713332608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224085 (or 224070 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 30713332608 in words is "thirty billion, seven hundred thirteen million, three hundred thirty-two thousand, six hundred eight".