Search a number
-
+
2027796708240 = 2432531211143037
BaseRepresentation
bin11101100000100010000…
…110100011101110010000
321011212002122020221020200
4131200202012203232100
5231210411424130430
64151320144535200
7266334456424542
oct35404206435620
97155078227220
102027796708240
11711a90417136
12289001021500
131192b3314724
1470208441692
1537b33489460
hex1d8221a3b90

2027796708240 has 240 divisors, whose sum is σ = 7033188704256. Its totient is φ = 523042329600.

The previous prime is 2027796708229. The next prime is 2027796708257. The reversal of 2027796708240 is 428076977202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×20277967082402 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47096002 + ... + 47139038.

Almost surely, 22027796708240 is an apocalyptic number.

2027796708240 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 2027796708240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516594352128).

2027796708240 is an abundant number, since it is smaller than the sum of its proper divisors (5005391996016).

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

2027796708240 is a wasteful number, since it uses less digits than its factorization.

2027796708240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45198 (or 45189 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 2027796708240 in words is "two trillion, twenty-seven billion, seven hundred ninety-six million, seven hundred eight thousand, two hundred forty".