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5000000461 = 192973197631
BaseRepresentation
bin1001010100000010…
…11111001111001101
3110220110101100012021
410222001133033031
540220000003321
62144051210141
7234622205551
oct45201371715
913813340167
105000000461
112136408395
12b765a6951
13618b5bb71
143560a1861
151e3e56941
hex12a05f3cd

5000000461 has 32 divisors (see below), whose sum is σ = 5556038400. Its totient is φ = 4480842240.

The previous prime is 5000000437. The next prime is 5000000477. The reversal of 5000000461 is 1640000005.

It is a 6-Lehmer number, since φ(5000000461) divides (5000000461-1)6.

It is a cyclic number.

It is not a de Polignac number, because 5000000461 - 219 = 4999476173 is a prime.

It is a super-2 number, since 2×50000004612 = 50000009220000425042, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5000004461) 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 31 ways as a sum of consecutive naturals, for example, 7923616 + ... + 7924246.

It is an arithmetic number, because the mean of its divisors is an integer number (173626200).

Almost surely, 25000000461 is an apocalyptic number.

It is an amenable number.

5000000461 is a deficient number, since it is larger than the sum of its proper divisors (556037939).

5000000461 is a wasteful number, since it uses less digits than its factorization.

5000000461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 5000000461 is about 70710.6813784169. The cubic root of 5000000461 is about 1709.9759992300.

Adding to 5000000461 its reverse (1640000005), we get a palindrome (6640000466).

The spelling of 5000000461 in words is "five billion, four hundred sixty-one", and thus it is an aban number.

Divisors: 1 19 29 73 197 551 631 1387 2117 3743 5713 11989 14381 18299 40223 46063 108547 124307 273239 347681 417049 875197 1335827 2361833 3604903 7923931 9074411 25380713 68493157 172413809 263157919 5000000461