Search a number
-
+
5376744445680 = 243251719112771801
BaseRepresentation
bin100111000111101111011…
…1100010101011011110000
3201001000022120020221012100
41032033132330111123300
51201043033034230210
615234013045300400
71063312511466216
oct116173674253360
921030276227170
105376744445680
1117932a0082783
1272a070a04700
1330004270787a
14148343136cb6
1594cdc67a5c0
hex4e3def156f0

5376744445680 has 480 divisors, whose sum is σ = 19244900533248. Its totient is φ = 1340596224000.

The previous prime is 5376744445679. The next prime is 5376744445711. The reversal of 5376744445680 is 865444476735.

5376744445680 is a `hidden beast` number, since 5 + 3 + 7 + 67 + 4 + 4 + 4 + 4 + 568 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2985420780 + ... + 2985422580.

Almost surely, 25376744445680 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 5376744445680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9622450266624).

5376744445680 is an abundant number, since it is smaller than the sum of its proper divisors (13868156087568).

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

5376744445680 is a wasteful number, since it uses less digits than its factorization.

5376744445680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305 (or 3296 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 63.

The spelling of 5376744445680 in words is "five trillion, three hundred seventy-six billion, seven hundred forty-four million, four hundred forty-five thousand, six hundred eighty".