Search a number
-
+
556348492128 = 2531113212232549
BaseRepresentation
bin10000001100010001111…
…01000100100101100000
31222012000212211200212110
420012020331010211200
533103400203222003
61103325530555320
755123556104452
oct10061075044540
91865025750773
10556348492128
111a4a45246660
128b9a7b98b40
1340604232300
141ccdab5a2d2
15e7129eca03
hex8188f44960

556348492128 has 288 divisors, whose sum is σ = 1727247110400. Its totient is φ = 155433707520.

The previous prime is 556348492103. The next prime is 556348492129. The reversal of 556348492128 is 821294843655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556348492129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218260198 + ... + 218262746.

It is an arithmetic number, because the mean of its divisors is an integer number (5997385800).

Almost surely, 2556348492128 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 556348492128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863623555200).

556348492128 is an abundant number, since it is smaller than the sum of its proper divisors (1170898618272).

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

556348492128 is a wasteful number, since it uses less digits than its factorization.

556348492128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822 (or 3801 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 57.

The spelling of 556348492128 in words is "five hundred fifty-six billion, three hundred forty-eight million, four hundred ninety-two thousand, one hundred twenty-eight".