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4905137969 = 531572832083
BaseRepresentation
bin1001001000101111…
…00111011100110001
3110122211212211022122
410210113213130301
540021203403334
62130422044025
7232360661534
oct44427473461
913584784278
104905137969
112097905836
12b4a879615
136022c6904
1434764aa1b
151da96932e
hex1245e7731

4905137969 has 16 divisors (see below), whose sum is σ = 5049715392. Its totient is φ = 4762749888.

The previous prime is 4905137957. The next prime is 4905138019. The reversal of 4905137969 is 9697315094.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 4905137969 - 24 = 4905137953 is a prime.

It is a super-2 number, since 2×49051379692 = 48120756989850889922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4905137969.

It is not an unprimeable number, because it can be changed into a prime (4905136969) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2353802 + ... + 2355884.

It is an arithmetic number, because the mean of its divisors is an integer number (315607212).

Almost surely, 24905137969 is an apocalyptic number.

It is an amenable number.

4905137969 is a deficient number, since it is larger than the sum of its proper divisors (144577423).

4905137969 is a wasteful number, since it uses less digits than its factorization.

4905137969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576.

The product of its (nonzero) digits is 1837080, while the sum is 53.

The square root of 4905137969 is about 70036.6901630852. The cubic root of 4905137969 is about 1699.0927072120.

The spelling of 4905137969 in words is "four billion, nine hundred five million, one hundred thirty-seven thousand, nine hundred sixty-nine".

Divisors: 1 53 157 283 2083 8321 14999 44431 110399 327031 589489 2354843 17332643 31242917 92549773 4905137969