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5241671827776 = 26321741431132687
BaseRepresentation
bin100110001000110101111…
…1111001100000101000000
3200120002200010021222222100
41030101223333030011000
51141334420441442101
615051554002310400
71050461341255326
oct114215377140500
920502603258870
105241671827776
111740a8710774a
12707a55358400
132c039792a1a7
141419ac0a5d16
1591534318e86
hex4c46bfcc140

5241671827776 has 672 divisors, whose sum is σ = 16828897333248. Its totient is φ = 1552581918720.

The previous prime is 5241671827771. The next prime is 5241671827807. The reversal of 5241671827776 is 6777281761425.

It is a happy number.

5241671827776 is a `hidden beast` number, since 5 + 2 + 416 + 7 + 1 + 82 + 77 + 76 = 666.

It is a super-3 number, since 3×52416718277763 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5241671827771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1950751105 + ... + 1950753791.

It is an arithmetic number, because the mean of its divisors is an integer number (25043001984).

Almost surely, 25241671827776 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 5241671827776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8414448666624).

5241671827776 is an abundant number, since it is smaller than the sum of its proper divisors (11587225505472).

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

5241671827776 is a wasteful number, since it uses less digits than its factorization.

5241671827776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2906 counting only the distinct ones).

The product of its digits is 55319040, while the sum is 63.

The spelling of 5241671827776 in words is "five trillion, two hundred forty-one billion, six hundred seventy-one million, eight hundred twenty-seven thousand, seven hundred seventy-six".