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30608644770064 = 24312446172
BaseRepresentation
bin1101111010110101000010…
…11001100000100100010000
311000101011021002012122010101
412331122201121200210100
513002443001030120224
6145033230044542144
76306254515516414
oct675324131404420
9130334232178111
1030608644770064
119831065009319
1235241b1251954
1314104c90821ca
1477b6757b6d44
15381303a55044
hex1bd6a1660910

30608644770064 has 45 divisors (see below), whose sum is σ = 61280373993381. Its totient is φ = 14810302615680.

The previous prime is 30608644770061. The next prime is 30608644770169. The reversal of 30608644770064 is 46007744680603.

The square root of 30608644770064 is 5532508.

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

It can be written as a sum of positive squares in only one way, i.e., 2955854947600 + 27652789822464 = 1719260^2 + 5258592^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30608644769987 and 30608644770014.

It is not an unprimeable number, because it can be changed into a prime (30608644770061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 686008684 + ... + 686053300.

Almost surely, 230608644770064 is an apocalyptic number.

30608644770064 is the 5532508-th square number.

It is an amenable number.

30608644770064 is an abundant number, since it is smaller than the sum of its proper divisors (30671729223317).

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

30608644770064 is an frugal number, since it uses more digits than its factorization.

30608644770064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89304 (or 44650 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 55.

The spelling of 30608644770064 in words is "thirty trillion, six hundred eight billion, six hundred forty-four million, seven hundred seventy thousand, sixty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1922 3844 7688 15376 44617 89234 178468 356936 713872 1383127 2766254 5532508 11065016 22130032 42876937 85753874 171507748 343015496 686030992 1990676689 3981353378 7962706756 15925413512 31850827024 61710977359 123421954718 246843909436 493687818872 987375637744 1913040298129 3826080596258 7652161192516 15304322385032 30608644770064