Search a number
-
+
5530544989200 = 2435527114167269
BaseRepresentation
bin101000001111010111000…
…1010110110010000010000
3201120201022012010001200000
41100132232022312100100
51211103024004123300
615432410340530000
71110366026522250
oct120365612662020
921521265101600
105530544989200
111842544513490
12753a343b0900
133116b348193a
1415197355b960
1598cdec31c00
hex507ae2b6410

5530544989200 has 2880 divisors, whose sum is σ = 25895122606080. Its totient is φ = 1100335104000.

The previous prime is 5530544989181. The next prime is 5530544989231. The reversal of 5530544989200 is 29894450355.

5530544989200 is a `hidden beast` number, since 5 + 5 + 3 + 0 + 544 + 9 + 8 + 92 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 20559646666 + ... + 20559646934.

It is an arithmetic number, because the mean of its divisors is an integer number (8991362016).

Almost surely, 25530544989200 is an apocalyptic number.

5530544989200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5530544989200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12947561303040).

5530544989200 is an abundant number, since it is smaller than the sum of its proper divisors (20364577616880).

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

5530544989200 is a wasteful number, since it uses less digits than its factorization.

5530544989200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 5530544989200 in words is "five trillion, five hundred thirty billion, five hundred forty-four million, nine hundred eighty-nine thousand, two hundred".