Search a number
-
+
2080790249472 = 215341131931
BaseRepresentation
bin11110010001111000110…
…000111000000000000000
321100220212211221202110000
4132101320300320000000
5233042424300440342
64231522444240000
7303221631203004
oct36217060700000
97326784852400
102080790249472
11732504939000
12297330540000
131212aa316c0c
14729d4576704
15391d5a4944c
hex1e478c38000

2080790249472 has 1280 divisors, whose sum is σ = 7429844505600. Its totient is φ = 578086502400.

The previous prime is 2080790249443. The next prime is 2080790249519. The reversal of 2080790249472 is 2749420970802.

It is a happy number.

2080790249472 is a `hidden beast` number, since 2 + 0 + 80 + 7 + 9 + 0 + 2 + 494 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67122266097 + ... + 67122266127.

It is an arithmetic number, because the mean of its divisors is an integer number (5804566020).

Almost surely, 22080790249472 is an apocalyptic number.

2080790249472 is a gapful number since it is divisible by the number (22) 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 2080790249472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714922252800).

2080790249472 is an abundant number, since it is smaller than the sum of its proper divisors (5349054256128).

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

2080790249472 is an frugal number, since it uses more digits than its factorization.

2080790249472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 2080790249472 in words is "two trillion, eighty billion, seven hundred ninety million, two hundred forty-nine thousand, four hundred seventy-two".