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5048665056 = 253252133647
BaseRepresentation
bin1001011001110110…
…01000001111100000
3111000211221202110200
410230323020033200
540314424240211
62152550225200
7236052642051
oct45473101740
914024852420
105048665056
112160926866
12b8a955200
13625c6a496
1435c72c728
151e836ab56
hex12cec83e0

5048665056 has 72 divisors (see below), whose sum is σ = 14385125664. Its totient is φ = 1679608320.

The previous prime is 5048665031. The next prime is 5048665057. The reversal of 5048665056 is 6505668405.

It is a happy number.

5048665056 is a `hidden beast` number, since 504 + 86 + 65 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5048665057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133225 + ... + 166871.

It is an arithmetic number, because the mean of its divisors is an integer number (199793412).

Almost surely, 25048665056 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 5048665056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7192562832).

5048665056 is an abundant number, since it is smaller than the sum of its proper divisors (9336460608).

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

5048665056 is a wasteful number, since it uses less digits than its factorization.

5048665056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34184 (or 34173 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 5048665056 is about 71053.9587637452. The cubic root of 5048665056 is about 1715.5057829867.

The spelling of 5048665056 in words is "five billion, forty-eight million, six hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 521 1042 1563 2084 3126 4168 4689 6252 8336 9378 12504 16672 18756 25008 33647 37512 50016 67294 75024 100941 134588 150048 201882 269176 302823 403764 538352 605646 807528 1076704 1211292 1615056 2422584 3230112 4845168 9690336 17530087 35060174 52590261 70120348 105180522 140240696 157770783 210361044 280481392 315541566 420722088 560962784 631083132 841444176 1262166264 1682888352 2524332528 5048665056