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12217485603904 = 2672624172
BaseRepresentation
bin1011000111001001101011…
…1000111011010001000000
31121020222110120121111112021
42301302122320323101000
53100132402303311104
641552345125211224
72400453453105400
oct261623270732100
947228416544467
1012217485603904
113990452129019
1214539b7260b14
136a81474b6739
14303488068800
15162c114de754
hexb1c9ae3b440

12217485603904 has 63 divisors (see below), whose sum is σ = 28202740838373. Its totient is φ = 5235981370368.

The previous prime is 12217485603893. The next prime is 12217485603913. The reversal of 12217485603904 is 40930658471221.

The square root of 12217485603904 is 3495352.

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., 87924110400 + 12129561493504 = 296520^2 + 3482752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 195708504 + ... + 195770920.

It is a 1-persistent number, because it is pandigital, but 2⋅12217485603904 = 24434971207808 is not.

Almost surely, 212217485603904 is an apocalyptic number.

12217485603904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12217485603904 is the 3495352-nd square number.

It is an amenable number.

12217485603904 is an abundant number, since it is smaller than the sum of its proper divisors (15985255234469).

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

12217485603904 is an frugal number, since it uses more digits than its factorization.

12217485603904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124860 (or 62426 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 12217485603904 in words is "twelve trillion, two hundred seventeen billion, four hundred eighty-five million, six hundred three thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 62417 124834 249668 436919 499336 873838 998672 1747676 1997344 3058433 3495352 3994688 6116866 6990704 12233732 13981408 24467464 27962816 48934928 97869856 195739712 3895881889 7791763778 15583527556 27271173223 31167055112 54542346446 62334110224 109084692892 124668220448 190898212561 218169385784 249336440896 381796425122 436338771568 763592850244 872677543136 1527185700488 1745355086272 3054371400976 6108742801952 12217485603904