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30136521728 = 210241122117
BaseRepresentation
bin11100000100010001…
…101101010000000000
32212210021011220222102
4130010101231100000
5443204422143403
621502230125532
72114545131245
oct340421552000
985707156872
1030136521728
111186530a905
125a107b08a8
132ac37551a1
14165c6255cc
15bb5ae4b88
hex70446d400

30136521728 has 44 divisors (see below), whose sum is σ = 60494082132. Its totient is φ = 15005614080.

The previous prime is 30136521659. The next prime is 30136521743. The reversal of 30136521728 is 82712563103.

It can be written as a sum of positive squares in 2 ways, for example, as 25538596864 + 4597924864 = 159808^2 + 67808^2 .

It is a super-2 number, since 2×301365217282 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30136521691 and 30136521700.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 185726 + ... + 307842.

It is an arithmetic number, because the mean of its divisors is an integer number (1374865503).

Almost surely, 230136521728 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 30136521728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30247041066).

30136521728 is an abundant number, since it is smaller than the sum of its proper divisors (30357560404).

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

30136521728 is a wasteful number, since it uses less digits than its factorization.

30136521728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122378 (or 122360 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 30136521728 in words is "thirty billion, one hundred thirty-six million, five hundred twenty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 241 256 482 512 964 1024 1928 3856 7712 15424 30848 61696 122117 123392 244234 246784 488468 976936 1953872 3907744 7815488 15630976 29430197 31261952 58860394 62523904 117720788 125047808 235441576 470883152 941766304 1883532608 3767065216 7534130432 15068260864 30136521728