Search a number
-
+
5416148160 = 263354211489
BaseRepresentation
bin1010000101101001…
…11101110011000000
3111222110102211112000
411002310331303000
542043013220120
62253234504000
7251134333263
oct50264756300
914873384460
105416148160
11232a302305
121071a35000
136841352c7
1439546acda
1521a759990
hex142d3dcc0

5416148160 has 224 divisors, whose sum is σ = 19165214400. Its totient is φ = 1439907840.

The previous prime is 5416148147. The next prime is 5416148161. The reversal of 5416148160 is 618416145.

5416148160 is a `hidden beast` number, since 541 + 61 + 48 + 16 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5416148161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3636696 + ... + 3638184.

Almost surely, 25416148160 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 5416148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9582607200).

5416148160 is an abundant number, since it is smaller than the sum of its proper divisors (13749066240).

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

5416148160 is a wasteful number, since it uses less digits than its factorization.

5416148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5416148160 is about 73594.4845759517. The cubic root of 5416148160 is about 1756.1576991465.

The spelling of 5416148160 in words is "five billion, four hundred sixteen million, one hundred forty-eight thousand, one hundred sixty".