Search a number
-
+
2080681340760 = 23345112232973109
BaseRepresentation
bin11110010001110010010…
…001011010111101011000
321100220121021000121210000
4132101302101122331120
5233042213410401020
64231503554053000
7303216136404621
oct36216221327530
97326537017700
102080681340760
11732459412300
122972bbb7a160
131212908a44a9
14729c3d06a48
15391cb1d5090
hex1e47245af58

2080681340760 has 1920 divisors, whose sum is σ = 8488606896000. Its totient is φ = 455243120640.

The previous prime is 2080681340753. The next prime is 2080681340779. The reversal of 2080681340760 is 670431860802.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 19088819586 + ... + 19088819694.

It is an arithmetic number, because the mean of its divisors is an integer number (4421149425).

Almost surely, 22080681340760 is an apocalyptic number.

2080681340760 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 2080681340760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244303448000).

2080681340760 is an abundant number, since it is smaller than the sum of its proper divisors (6407925555240).

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

2080681340760 is a wasteful number, since it uses less digits than its factorization.

2080681340760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2080681340760 in words is "two trillion, eighty billion, six hundred eighty-one million, three hundred forty thousand, seven hundred sixty".