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30601617625 = 53318176961
BaseRepresentation
bin11100011111111111…
…111010000011011001
32220222200100020121101
4130133333322003121
51000133003231000
622020322511401
72132223313045
oct343777720331
986880306541
1030601617625
1111a838a7287
125b20505561
132b68c09067
1416a42d3025
15be1865e6a
hex71fffa0d9

30601617625 has 16 divisors (see below), whose sum is σ = 38203321104. Its totient is φ = 24473280000.

The previous prime is 30601617581. The next prime is 30601617677. The reversal of 30601617625 is 52671610603.

It can be written as a sum of positive squares in 8 ways, for example, as 24846271129 + 5755346496 = 157627^2 + 75864^2 .

It is not a de Polignac number, because 30601617625 - 221 = 30599520473 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359145 + ... + 436105.

It is an arithmetic number, because the mean of its divisors is an integer number (2387707569).

Almost surely, 230601617625 is an apocalyptic number.

It is an amenable number.

30601617625 is a deficient number, since it is larger than the sum of its proper divisors (7601703479).

30601617625 is an equidigital number, since it uses as much as digits as its factorization.

30601617625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80157 (or 80147 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 30601617625 in words is "thirty billion, six hundred one million, six hundred seventeen thousand, six hundred twenty-five".

Divisors: 1 5 25 125 3181 15905 76961 79525 384805 397625 1924025 9620125 244812941 1224064705 6120323525 30601617625