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30747750768 = 24337193161283
BaseRepresentation
bin11100101000101101…
…010111000101110000
32221100212022120121000
4130220231113011300
51000432411011033
622043023002000
72135646366150
oct345055270560
987325276530
1030747750768
1112049338279
125b61439300
132b90282b87
1416b9892760
15bee5cea13
hex728b57170

30747750768 has 640 divisors, whose sum is σ = 111789670400. Its totient is φ = 7894195200.

The previous prime is 30747750731. The next prime is 30747750793. The reversal of 30747750768 is 86705774703.

30747750768 is a `hidden beast` number, since 3 + 0 + 7 + 4 + 77 + 507 + 68 = 666.

It is a super-3 number, since 3×307477507683 (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 108649155 + ... + 108649437.

It is an arithmetic number, because the mean of its divisors is an integer number (174671360).

Almost surely, 230747750768 is an apocalyptic number.

30747750768 is a gapful number since it is divisible by the number (38) 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 30747750768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55894835200).

30747750768 is an abundant number, since it is smaller than the sum of its proper divisors (81041919632).

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

30747750768 is a wasteful number, since it uses less digits than its factorization.

30747750768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 54.

The spelling of 30747750768 in words is "thirty billion, seven hundred forty-seven million, seven hundred fifty thousand, seven hundred sixty-eight".