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30748922568 = 233772133189
BaseRepresentation
bin11100101000110001…
…110101001011001000
32221100221112010000000
4130220301311023020
51000433211010233
622043104043000
72135662346400
oct345061651310
987327463000
1030748922568
1112049a68701
125b61903460
132b905a3350
1416b9ab9800
15bee761d13
hex728c752c8

30748922568 has 768 divisors, whose sum is σ = 113073408000. Its totient is φ = 7759825920.

The previous prime is 30748922549. The next prime is 30748922569. The reversal of 30748922568 is 86522984703.

30748922568 is a `hidden beast` number, since 3 + 0 + 74 + 8 + 9 + 2 + 2 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30748922569) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 345493468 + ... + 345493556.

It is an arithmetic number, because the mean of its divisors is an integer number (147231000).

Almost surely, 230748922568 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 30748922568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56536704000).

30748922568 is an abundant number, since it is smaller than the sum of its proper divisors (82324485432).

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

30748922568 is a wasteful number, since it uses less digits than its factorization.

30748922568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 30748922568 in words is "thirty billion, seven hundred forty-eight million, nine hundred twenty-two thousand, five hundred sixty-eight".