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30072939520 = 2105132291973
BaseRepresentation
bin11100000000011111…
…001010010000000000
32212121211112121120211
4130000133022100000
5443042133031040
621452035243504
72113143524341
oct340037122000
985554477524
1030072939520
1111832432628
1259b3449594
132ab3522890
141653dd40c8
15bb02358ea
hex7007ca400

30072939520 has 176 divisors, whose sum is σ = 78067830960. Its totient is φ = 11049762816.

The previous prime is 30072939503. The next prime is 30072939521. The reversal of 30072939520 is 2593927003.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 741581824 + 29331357696 = 27232^2 + 171264^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (30072939521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15241254 + ... + 15243226.

Almost surely, 230072939520 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 30072939520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39033915480).

30072939520 is an abundant number, since it is smaller than the sum of its proper divisors (47994891440).

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

30072939520 is a wasteful number, since it uses less digits than its factorization.

30072939520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 40.

The spelling of 30072939520 in words is "thirty billion, seventy-two million, nine hundred thirty-nine thousand, five hundred twenty".