Search a number
-
+
2107322849280 = 21135116793077
BaseRepresentation
bin11110101010100110001…
…110101101100000000000
321110110100221201110221210
4132222212032231200000
5234011244122134110
64252031334050120
7305151265446255
oct36524616554000
97413327643853
102107322849280
1174278a8a0a40
122a04b61a9940
13123948217b0c
1473dd02ab42c
1539c3a055520
hex1eaa63ad800

2107322849280 has 384 divisors, whose sum is σ = 7464527965440. Its totient is φ = 503235870720.

The previous prime is 2107322849267. The next prime is 2107322849341. The reversal of 2107322849280 is 829482237012.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22594102 + ... + 22687178.

It is an arithmetic number, because the mean of its divisors is an integer number (19438874910).

Almost surely, 22107322849280 is an apocalyptic number.

2107322849280 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 2107322849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732263982720).

2107322849280 is an abundant number, since it is smaller than the sum of its proper divisors (5357205116160).

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

2107322849280 is a wasteful number, since it uses less digits than its factorization.

2107322849280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93185 (or 93165 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 2107322849280 in words is "two trillion, one hundred seven billion, three hundred twenty-two million, eight hundred forty-nine thousand, two hundred eighty".