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11422209864976 = 24472179772
BaseRepresentation
bin1010011000110111000011…
…0000101111010100010000
31111102221201110000002101221
42212031300300233110100
52444120141211134401
640143142450134424
72256141002625301
oct246156060572420
944387643002357
1011422209864976
11370414a768619
12134584ab81414
1364b157213921
142b6ba33087a8
1514c1b7d387a1
hexa6370c2f510

11422209864976 has 45 divisors (see below), whose sum is σ = 22612670203269. Its totient is φ = 5589281131392.

The previous prime is 11422209864953. The next prime is 11422209864979. The reversal of 11422209864976 is 67946890222411.

The square root of 11422209864976 is 3379676.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5768162890000 + 5654046974976 = 2401700^2 + 2377824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11422209864979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 635370100 + ... + 635388076.

Almost surely, 211422209864976 is an apocalyptic number.

11422209864976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11422209864976 is the 3379676-th square number.

It is an amenable number.

11422209864976 is a deficient number, since it is larger than the sum of its proper divisors (11190460338293).

11422209864976 is an frugal number, since it uses more digits than its factorization.

11422209864976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36056 (or 18026 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 61.

The spelling of 11422209864976 in words is "eleven trillion, four hundred twenty-two billion, two hundred nine million, eight hundred sixty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 47 94 188 376 752 2209 4418 8836 17672 17977 35344 35954 71908 143816 287632 844919 1689838 3379676 6759352 13518704 39711193 79422386 158844772 317689544 323172529 635379088 646345058 1292690116 2585380232 5170760464 15189108863 30378217726 60756435452 121512870904 243025741808 713888116561 1427776233122 2855552466244 5711104932488 11422209864976