Search a number
-
+
672790302720 = 2123451723857
BaseRepresentation
bin10011100101001010110…
…11010101000000000000
32101022120220122120010000
421302211123111000000
542010333304141340
61233024155040000
766415241134014
oct11624533250000
92338526576100
10672790302720
1123a36864a378
12aa484140000
134b5a01b8253
14247c56b8544
151277a3eed30
hex9ca56d5000

672790302720 has 520 divisors, whose sum is σ = 2553760033704. Its totient is φ = 168850096128.

The previous prime is 672790302713. The next prime is 672790302731. The reversal of 672790302720 is 27203097276.

672790302720 is a `hidden beast` number, since 6 + 7 + 279 + 0 + 302 + 72 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24365961216 + 648424341504 = 156096^2 + 805248^2 .

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 39 ways as a sum of consecutive naturals, for example, 28189032 + ... + 28212888.

Almost surely, 2672790302720 is an apocalyptic number.

672790302720 is a gapful number since it is divisible by the number (60) 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 672790302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276880016852).

672790302720 is an abundant number, since it is smaller than the sum of its proper divisors (1880969730984).

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

672790302720 is a wasteful number, since it uses less digits than its factorization.

672790302720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23915 (or 23884 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

Adding to 672790302720 its reverse (27203097276), we get a palindrome (699993399996).

The spelling of 672790302720 in words is "six hundred seventy-two billion, seven hundred ninety million, three hundred two thousand, seven hundred twenty".