Search a number
-
+
7216130488320 = 21136513235361
BaseRepresentation
bin110100100000010001011…
…1001001111100000000000
3221112212002112121101000000
41221000202321033200000
51421212113401111240
623203013344000000
71343230304051025
oct151004271174000
927485075541000
107216130488320
11233238659a126
1298664b600000
1340462a75a840
141ad39673554c
15c7a94d42430
hex69022e4f800

7216130488320 has 2688 divisors, whose sum is σ = 30209952689280. Its totient is φ = 1639663534080.

The previous prime is 7216130488309. The next prime is 7216130488379. The reversal of 7216130488320 is 238840316127.

7216130488320 is a `hidden beast` number, since 7 + 2 + 1 + 6 + 130 + 488 + 32 + 0 = 666.

It is a super-2 number, since 2×72161304883202 (a number of 27 digits) contains 22 as substring.

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 223 ways as a sum of consecutive naturals, for example, 118297221090 + ... + 118297221150.

It is an arithmetic number, because the mean of its divisors is an integer number (11238821685).

Almost surely, 27216130488320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7216130488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15104976344640).

7216130488320 is an abundant number, since it is smaller than the sum of its proper divisors (22993822200960).

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

7216130488320 is a wasteful number, since it uses less digits than its factorization.

7216130488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 160 counting only the distinct ones).

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

The spelling of 7216130488320 in words is "seven trillion, two hundred sixteen billion, one hundred thirty million, four hundred eighty-eight thousand, three hundred twenty".