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4941527616 = 26322921012
BaseRepresentation
bin1001001101000100…
…11011101001000000
3110202101100121112100
410212202123221000
540110012340431
62134202030400
7233312202024
oct44642335100
913671317470
104941527616
1121063aa923
12b5aaa8400
136099c804c
1434c400384
151ddc564e6
hex12689ba40

4941527616 has 189 divisors, whose sum is σ = 14815930363. Its totient is φ = 1574630400.

The previous prime is 4941527597. The next prime is 4941527623. The reversal of 4941527616 is 6167251494.

The square root of 4941527616 is 70296.

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

4941527616 is a `hidden beast` number, since 4 + 9 + 4 + 1 + 5 + 27 + 616 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1623767616 + 3317760000 = 40296^2 + 57600^2 .

It is a Duffinian number.

Its product of digits (362880) is a multiple of the sum of its prime divisors (135).

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 26 ways as a sum of consecutive naturals, for example, 48925966 + ... + 48926066.

Almost surely, 24941527616 is an apocalyptic number.

4941527616 is the 70296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4941527616

4941527616 is an abundant number, since it is smaller than the sum of its proper divisors (9874402747).

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

4941527616 is a wasteful number, since it uses less digits than its factorization.

4941527616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 135 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The cubic root of 4941527616 is about 1703.2840343352.

The spelling of 4941527616 in words is "four billion, nine hundred forty-one million, five hundred twenty-seven thousand, six hundred sixteen".