Search a number
-
+
2049448372560 = 2437567359487
BaseRepresentation
bin11101110100101100101…
…001000110100101010000
321020220222120200110000000
4131310230221012211100
5232034232240410220
64205300435130000
7301032145510401
oct35645451064520
97226876613000
102049448372560
117201911a4a96
12291244143900
1311b353c43c14
147129dc299a8
153849e20c390
hex1dd2ca46950

2049448372560 has 640 divisors, whose sum is σ = 7288162099200. Its totient is φ = 535760552448.

The previous prime is 2049448372553. The next prime is 2049448372567. The reversal of 2049448372560 is 652738449402.

It is a happy number.

2049448372560 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 4 + 4 + 8 + 3 + 72 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2049448372553) and next prime (2049448372567).

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

It is a junction number, because it is equal to n+sod(n) for n = 2049448372497 and 2049448372506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049448372567) 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 127 ways as a sum of consecutive naturals, for example, 4208312637 + ... + 4208313123.

It is an arithmetic number, because the mean of its divisors is an integer number (11387753280).

Almost surely, 22049448372560 is an apocalyptic number.

2049448372560 is a gapful number since it is divisible by the number (20) 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 2049448372560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644081049600).

2049448372560 is an abundant number, since it is smaller than the sum of its proper divisors (5238713726640).

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

2049448372560 is an equidigital number, since it uses as much as digits as its factorization.

2049448372560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 2049448372560 in words is "two trillion, forty-nine billion, four hundred forty-eight million, three hundred seventy-two thousand, five hundred sixty".