Search a number
-
+
53838608461 = 1115731174643
BaseRepresentation
bin110010001001000001…
…111111100001001101
312010222002211200111121
4302021001333201031
51340230140432321
640422204120541
73614112423031
oct621101774115
9163862750447
1053838608461
1120918544440
12a526536151
135100104491
14286a4721c1
15160188a441
hexc8907f84d

53838608461 has 8 divisors (see below), whose sum is σ = 59107125024. Its totient is φ = 48632441520.

The previous prime is 53838608419. The next prime is 53838608501. The reversal of 53838608461 is 16480683835.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 53838608461 - 231 = 51691124813 is a prime.

It is a super-2 number, since 2×538386084612 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 53838608399 and 53838608408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53838608401) 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 7 ways as a sum of consecutive naturals, for example, 15585595 + ... + 15589048.

It is an arithmetic number, because the mean of its divisors is an integer number (7388390628).

Almost surely, 253838608461 is an apocalyptic number.

It is an amenable number.

53838608461 is a deficient number, since it is larger than the sum of its proper divisors (5268516563).

53838608461 is a wasteful number, since it uses less digits than its factorization.

53838608461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31174811.

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 53838608461 in words is "fifty-three billion, eight hundred thirty-eight million, six hundred eight thousand, four hundred sixty-one".

Divisors: 1 11 157 1727 31174643 342921073 4894418951 53838608461