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30944746049 = 753773107903
BaseRepresentation
bin11100110100011100…
…110101101001000001
32221212120222222022112
4130310130311221001
51001333323333144
622114341145105
72143561000340
oct346434655101
987776888275
1030944746049
111213a558798
125bb73bb195
132bc2027629
1416d7ad1b57
15c11a4399e
hex734735a41

30944746049 has 16 divisors (see below), whose sum is σ = 36079644672. Its totient is φ = 25989707328.

The previous prime is 30944746037. The next prime is 30944746057. The reversal of 30944746049 is 94064744903.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 30944746049 - 216 = 30944680513 is a prime.

It is a super-2 number, since 2×309447460492 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 30944745988 and 30944746006.

It is not an unprimeable number, because it can be changed into a prime (30944746249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 232832 + ... + 340734.

It is an arithmetic number, because the mean of its divisors is an integer number (2254977792).

Almost surely, 230944746049 is an apocalyptic number.

It is an amenable number.

30944746049 is a deficient number, since it is larger than the sum of its proper divisors (5134898623).

30944746049 is a wasteful number, since it uses less digits than its factorization.

30944746049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108736.

The product of its (nonzero) digits is 2612736, while the sum is 50.

The spelling of 30944746049 in words is "thirty billion, nine hundred forty-four million, seven hundred forty-six thousand, forty-nine".

Divisors: 1 7 53 371 773 5411 40969 107903 286783 755321 5718859 40032013 83409019 583863133 4420678007 30944746049