Search a number
-
+
5380357893120 = 21034572238311
BaseRepresentation
bin100111001001011011001…
…0100100010110000000000
3201001100122101121002020000
41032102312110202300000
51201122433110034440
615235411410120000
71063501166336340
oct116226624426000
921040571532200
105380357893120
111794884846281
1272a8bab80000
1330049a215752
141485a6dc6d20
1594e4e9e6730
hex4e4b6522c00

5380357893120 has 880 divisors, whose sum is σ = 22135941746688. Its totient is φ = 1224134000640.

The previous prime is 5380357893083. The next prime is 5380357893121. The reversal of 5380357893120 is 213987530835.

5380357893120 is a `hidden beast` number, since 5 + 3 + 80 + 357 + 8 + 93 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5380357893121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 647373765 + ... + 647382075.

Almost surely, 25380357893120 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 5380357893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11067970873344).

5380357893120 is an abundant number, since it is smaller than the sum of its proper divisors (16755583853568).

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

5380357893120 is a wasteful number, since it uses less digits than its factorization.

5380357893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8578 (or 8551 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 5380357893120 in words is "five trillion, three hundred eighty billion, three hundred fifty-seven million, eight hundred ninety-three thousand, one hundred twenty".