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5436063360 = 273357133457
BaseRepresentation
bin1010001000000001…
…11011111010000000
3112000211220122001000
411010000323322000
542113113011420
62255225412000
7251465530140
oct50400737200
915024818030
105436063360
11233a574952
12107863a000
136882b8c50
14397d72920
1521c390690
hex14403be80

5436063360 has 512 divisors, whose sum is σ = 23702515200. Its totient is φ = 1146617856.

The previous prime is 5436063359. The next prime is 5436063371. The reversal of 5436063360 is 633606345.

It is a happy number.

5436063360 is a `hidden beast` number, since 5 + 43 + 606 + 3 + 3 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1570752 + ... + 1574208.

It is an arithmetic number, because the mean of its divisors is an integer number (46293975).

Almost surely, 25436063360 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 5436063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11851257600).

5436063360 is an abundant number, since it is smaller than the sum of its proper divisors (18266451840).

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

5436063360 is a wasteful number, since it uses less digits than its factorization.

5436063360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 5436063360 is about 73729.6640437212. The cubic root of 5436063360 is about 1758.3075327756.

It can be divided in two parts, 543 and 6063360, that added together give a triangular number (6063903 = T3482).

The spelling of 5436063360 in words is "five billion, four hundred thirty-six million, sixty-three thousand, three hundred sixty".