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30750367648 = 25711135359307
BaseRepresentation
bin11100101000110111…
…010101111110100000
32221101001020112021111
4130220313111332200
51000434043231043
622043155033104
72136010545430
oct345067257640
987331215244
1030750367648
111204a865390
125b6229b794
132b9098b020
1416b9d742c0
15bee94a09d
hex728dd5fa0

30750367648 has 384 divisors, whose sum is σ = 84495882240. Its totient is φ = 10631761920.

The previous prime is 30750367643. The next prime is 30750367663. The reversal of 30750367648 is 84676305703.

It is a happy number.

It is a super-2 number, since 2×307503676482 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30750367643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100163911 + ... + 100164217.

It is an arithmetic number, because the mean of its divisors is an integer number (220041360).

Almost surely, 230750367648 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 30750367648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42247941120).

30750367648 is an abundant number, since it is smaller than the sum of its proper divisors (53745514592).

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

30750367648 is a wasteful number, since it uses less digits than its factorization.

30750367648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 49.

The spelling of 30750367648 in words is "thirty billion, seven hundred fifty million, three hundred sixty-seven thousand, six hundred forty-eight".