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5269856916168 = 23351317115110657
BaseRepresentation
bin100110010101111101111…
…1100110001001011001000
3200122210102101111211200000
41030223323330301023020
51142320131332304133
615112534442443000
71052506652462565
oct114537374611310
920583371454600
105269856916168
111751a2a931829
12711400503460
132c2c39cb0ba0
141430c347586c
1592133941413
hex4cafbf312c8

5269856916168 has 384 divisors, whose sum is σ = 16893567774720. Its totient is φ = 1524643430400.

The previous prime is 5269856916133. The next prime is 5269856916187. The reversal of 5269856916168 is 8616196589625.

It is a happy number.

5269856916168 is a `hidden beast` number, since 52 + 6 + 9 + 8 + 569 + 1 + 6 + 1 + 6 + 8 = 666.

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 = 5269856916096 and 5269856916105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 494491896 + ... + 494502552.

It is an arithmetic number, because the mean of its divisors is an integer number (43993666080).

Almost surely, 25269856916168 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 5269856916168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8446783887360).

5269856916168 is an abundant number, since it is smaller than the sum of its proper divisors (11623710858552).

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

5269856916168 is a wasteful number, since it uses less digits than its factorization.

5269856916168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11859 (or 11843 counting only the distinct ones).

The product of its digits is 335923200, while the sum is 72.

The spelling of 5269856916168 in words is "five trillion, two hundred sixty-nine billion, eight hundred fifty-six million, nine hundred sixteen thousand, one hundred sixty-eight".