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11722270368 = 253941129763
BaseRepresentation
bin10101110101011001…
…11010011010100000
31010020221112000220210
422322230322122200
5143001400122433
65215104534120
7563326440234
oct127254723240
933227460823
1011722270368
114a75a09256
122331921340
13114a763673
147d2ba45c4
154891b0463
hex2bab3a6a0

11722270368 has 48 divisors (see below), whose sum is σ = 30803897376. Its totient is φ = 3903240960.

The previous prime is 11722270363. The next prime is 11722270369. The reversal of 11722270368 is 86307222711.

11722270368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (11722270363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25455 + ... + 155217.

It is an arithmetic number, because the mean of its divisors is an integer number (641747862).

Almost surely, 211722270368 is an apocalyptic number.

It is an amenable number.

11722270368 is an abundant number, since it is smaller than the sum of its proper divisors (19081627008).

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

11722270368 is a wasteful number, since it uses less digits than its factorization.

11722270368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130717 (or 130709 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 11722270368 in words is "eleven billion, seven hundred twenty-two million, two hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 941 1882 2823 3764 5646 7528 11292 15056 22584 30112 45168 90336 129763 259526 389289 519052 778578 1038104 1557156 2076208 3114312 4152416 6228624 12457248 122106983 244213966 366320949 488427932 732641898 976855864 1465283796 1953711728 2930567592 3907423456 5861135184 11722270368