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30605403136 = 21072112712
BaseRepresentation
bin11100100000001110…
…010110010000000000
32220222221110120100111
4130200032112100000
51000134440400021
622020540001104
72132300430400
oct344016262000
986887416314
1030605403136
1111a85a52400
125b21830194
132b699330c9
1416a49da800
15be1d628e1
hex720396400

30605403136 has 297 divisors, whose sum is σ = 79345103691. Its totient is φ = 11756236800.

The previous prime is 30605403133. The next prime is 30605403137. The reversal of 30605403136 is 63130450603.

The square root of 30605403136 is 174944.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×306054031362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30605403098 and 30605403107.

It is not an unprimeable number, because it can be changed into a prime (30605403131) 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 26 ways as a sum of consecutive naturals, for example, 431061981 + ... + 431062051.

Almost surely, 230605403136 is an apocalyptic number.

30605403136 is the 174944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30605403136

30605403136 is an abundant number, since it is smaller than the sum of its proper divisors (48739700555).

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

30605403136 is an equidigital number, since it uses as much as digits as its factorization.

30605403136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

Adding to 30605403136 its reverse (63130450603), we get a palindrome (93735853739).

The spelling of 30605403136 in words is "thirty billion, six hundred five million, four hundred three thousand, one hundred thirty-six".