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5140316160 = 216335783
BaseRepresentation
bin1001100100110001…
…10000000000000000
3111021020102010011000
410302120300000000
541011410104120
62210022452000
7241244652330
oct46230600000
914236363130
105140316160
1121a8635681
12bb5594000
1363bc49ac5
1436a9890c0
15201421990
hex132630000

5140316160 has 544 divisors, whose sum is σ = 21139130880. Its totient is φ = 1160773632.

The previous prime is 5140316123. The next prime is 5140316189. The reversal of 5140316160 is 616130415.

5140316160 is a `hidden beast` number, since 5 + 1 + 40 + 3 + 1 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61931479 + ... + 61931561.

Almost surely, 25140316160 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 5140316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10569565440).

5140316160 is an abundant number, since it is smaller than the sum of its proper divisors (15998814720).

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

5140316160 is an frugal number, since it uses more digits than its factorization.

5140316160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5140316160 is about 71695.9982146842. The cubic root of 5140316160 is about 1725.8244225593.

Adding to 5140316160 its reverse (616130415), we get a palindrome (5756446575).

The spelling of 5140316160 in words is "five billion, one hundred forty million, three hundred sixteen thousand, one hundred sixty".