Search a number
-
+
53405313024 = 211374672659
BaseRepresentation
bin110001101111001101…
…000110100000000000
312002211220111222220110
4301233031012200000
51333333230004044
640311205111320
73600301446030
oct615715064000
9162756458813
1053405313024
11207159a8138
12a4253b8540
135061405c4b
142828ac18c0
1515c87eb6b9
hexc6f346800

53405313024 has 192 divisors, whose sum is σ = 163129075200. Its totient is φ = 15220260864.

The previous prime is 53405313019. The next prime is 53405313029. The reversal of 53405313024 is 42031350435.

It is an interprime number because it is at equal distance from previous prime (53405313019) and next prime (53405313029).

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 53405312982 and 53405313000.

It is not an unprimeable number, because it can be changed into a prime (53405313029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20083407 + ... + 20086065.

It is an arithmetic number, because the mean of its divisors is an integer number (849630600).

Almost surely, 253405313024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53405313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81564537600).

53405313024 is an abundant number, since it is smaller than the sum of its proper divisors (109723762176).

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

53405313024 is a wasteful number, since it uses less digits than its factorization.

53405313024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3158 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 53405313024 its reverse (42031350435), we get a palindrome (95436663459).

The spelling of 53405313024 in words is "fifty-three billion, four hundred five million, three hundred thirteen thousand, twenty-four".