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5049682560 = 273451359127
BaseRepresentation
bin1001011001111110…
…00000101010000000
3111000220212110020000
410230333000222000
540320204320220
62153024120000
7236064410406
oct45477005200
914026773200
105049682560
11216146127a
12b8b166000
13626235660
1435c915476
151e84bc390
hex12cfc0a80

5049682560 has 640 divisors, whose sum is σ = 19905177600. Its totient is φ = 1212309504.

The previous prime is 5049682553. The next prime is 5049682609. The reversal of 5049682560 is 652869405.

5049682560 is a `hidden beast` number, since 5 + 0 + 4 + 9 + 6 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39761217 + ... + 39761343.

It is an arithmetic number, because the mean of its divisors is an integer number (31101840).

Almost surely, 25049682560 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 5049682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9952588800).

5049682560 is an abundant number, since it is smaller than the sum of its proper divisors (14855495040).

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

5049682560 is a wasteful number, since it uses less digits than its factorization.

5049682560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5049682560 is about 71061.1184826133. The cubic root of 5049682560 is about 1715.6210224758.

It can be divided in two parts, 504968 and 2560, that added together give a triangular number (507528 = T1007).

The spelling of 5049682560 in words is "five billion, forty-nine million, six hundred eighty-two thousand, five hundred sixty".