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4930041744 = 2432113302977
BaseRepresentation
bin1001001011101101…
…00111011110010000
3110201120202001212200
410211312213132100
540044042313434
62133111523200
7233112443355
oct44566473620
913646661780
104930041744
1120aa975371
12b57089500
13607506084
1434aa9062c
151dcc38199
hex125da7790

4930041744 has 60 divisors (see below), whose sum is σ = 13919415276. Its totient is φ = 1628798976.

The previous prime is 4930041709. The next prime is 4930041751. The reversal of 4930041744 is 4471400394.

It can be written as a sum of positive squares in 2 ways, for example, as 125888400 + 4804153344 = 11220^2 + 69312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4930041699 and 4930041708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135217 + ... + 167760.

Almost surely, 24930041744 is an apocalyptic number.

It is an amenable number.

4930041744 is an abundant number, since it is smaller than the sum of its proper divisors (8989373532).

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

4930041744 is a wasteful number, since it uses less digits than its factorization.

4930041744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303104 (or 303095 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4930041744 is about 70214.2559883675. The cubic root of 4930041744 is about 1701.9633307528.

The spelling of 4930041744 in words is "four billion, nine hundred thirty million, forty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 16272 302977 605954 908931 1211908 1817862 2423816 2726793 3635724 4847632 5453586 7271448 10907172 14542896 21814344 34236401 43628688 68472802 102709203 136945604 205418406 273891208 308127609 410836812 547782416 616255218 821673624 1232510436 1643347248 2465020872 4930041744