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7299480968 = 2313315342719
BaseRepresentation
bin1101100110001010…
…10011110110001000
3200211201021001102222
412303011103312020
5104422131342333
63204153113212
7345613364423
oct66305236610
920751231388
107299480968
1131064040aa
1214b86b8808
138c4381710
144d36369ba
152cac74298
hex1b3153d88

7299480968 has 64 divisors (see below), whose sum is σ = 15502233600. Its totient is φ = 3198723840.

The previous prime is 7299480967. The next prime is 7299480983. The reversal of 7299480968 is 8690849927.

It is a Cunningham number, because it is equal to 854372-1.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a self number, because there is not a number n which added to its sum of digits gives 7299480968.

It is not an unprimeable number, because it can be changed into a prime (7299480967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149513 + ... + 192231.

It is an arithmetic number, because the mean of its divisors is an integer number (242222400).

Almost surely, 27299480968 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 7299480968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7751116800).

7299480968 is an abundant number, since it is smaller than the sum of its proper divisors (8202752632).

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

7299480968 is a wasteful number, since it uses less digits than its factorization.

7299480968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42822 (or 42818 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 62.

The square root of 7299480968 is about 85436.9999941477. Note that the first 5 decimals coincide. The cubic root of 7299480968 is about 1939.8314382188.

The spelling of 7299480968 in words is "seven billion, two hundred ninety-nine million, four hundred eighty thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 26 31 52 53 62 104 106 124 212 248 403 424 689 806 1378 1612 1643 2756 3224 3286 5512 6572 13144 21359 42718 42719 85436 85438 170872 170876 341752 555347 1110694 1324289 2221388 2264107 2648578 4442776 4528214 5297156 9056428 10594312 17215757 18112856 29433391 34431514 58866782 68863028 70187317 117733564 137726056 140374634 235467128 280749268 561498536 912435121 1824870242 3649740484 7299480968