Search a number
-
+
7290482982912 = 2173729877
BaseRepresentation
bin110101000010111001010…
…1001100000000000000000
3221210222000021221110000000
41222011302221200000000
51423421402120423122
623301111320000000
71351501651611213
oct152056251400000
927728007843000
107290482982912
112360970643868
12998b40000000
1340b64984437c
141b2c0b41b77a
15c99976060ac
hex6a172a60000

7290482982912 has 576 divisors, whose sum is σ = 22647896913600. Its totient is φ = 2343686897664.

The previous prime is 7290482982889. The next prime is 7290482982949. The reversal of 7290482982912 is 2192892840927.

7290482982912 is a `hidden beast` number, since 7 + 290 + 48 + 298 + 2 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×72904829829122 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7290482982912.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8312979018 + ... + 8312979894.

It is an arithmetic number, because the mean of its divisors is an integer number (39319265475).

Almost surely, 27290482982912 is an apocalyptic number.

7290482982912 is a gapful number since it is divisible by the number (72) 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 7290482982912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11323948456800).

7290482982912 is an abundant number, since it is smaller than the sum of its proper divisors (15357413930688).

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

7290482982912 is an frugal number, since it uses more digits than its factorization.

7290482982912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 7290482982912 in words is "seven trillion, two hundred ninety billion, four hundred eighty-two million, nine hundred eighty-two thousand, nine hundred twelve".