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5287994607168 = 26327131717334303
BaseRepresentation
bin100110011110011010100…
…0010100100011001000000
3200201112020102210000020100
41030330311002210121000
51143114303104412133
615125134324242400
71054021302350310
oct114746502443100
920645212700210
105287994607168
1117596981094a9
12714a22840400
132c486a8c0820
14143d242a5440
1592845e46e13
hex4cf350a4640

5287994607168 has 672 divisors, whose sum is σ = 19866968948736. Its totient is φ = 1304973213696.

The previous prime is 5287994607139. The next prime is 5287994607173. The reversal of 5287994607168 is 8617064997825.

5287994607168 is a `hidden beast` number, since 5 + 2 + 8 + 7 + 9 + 9 + 4 + 607 + 1 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5287994607096 and 5287994607105.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 154138305 + ... + 154172607.

It is an arithmetic number, because the mean of its divisors is an integer number (29563941888).

Almost surely, 25287994607168 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 5287994607168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9933484474368).

5287994607168 is an abundant number, since it is smaller than the sum of its proper divisors (14578974341568).

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

5287994607168 is a wasteful number, since it uses less digits than its factorization.

5287994607168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34531 (or 34518 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 5287994607168 in words is "five trillion, two hundred eighty-seven billion, nine hundred ninety-four million, six hundred seven thousand, one hundred sixty-eight".