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12993183220448 = 251847228196377
BaseRepresentation
bin1011110100010011011000…
…0100100000001011100000
31201000010200021112020200202
42331010312010200023200
53200340014401023243
643344552545204332
72510504123052464
oct275046604401340
951003607466622
1012993183220448
11415a418218392
12155a1ba9306a8
13733337613152
1432cc329604a4
15177eb0eb04b8
hexbd1361202e0

12993183220448 has 48 divisors (see below), whose sum is σ = 25605665404704. Its totient is φ = 6490160302080.

The previous prime is 12993183220327. The next prime is 12993183220487. The reversal of 12993183220448 is 84402238139921.

It is a super-4 number, since 4×129931832204484 (a number of 54 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12993183220393 and 12993183220402.

It is a congruent number.

It is an unprimeable number.

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, 134768036 + ... + 134864412.

It is an arithmetic number, because the mean of its divisors is an integer number (533451362598).

Almost surely, 212993183220448 is an apocalyptic number.

It is an amenable number.

12993183220448 is a deficient number, since it is larger than the sum of its proper divisors (12612482184256).

12993183220448 is a wasteful number, since it uses less digits than its factorization.

12993183220448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100515 (or 100507 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 56.

The spelling of 12993183220448 in words is "twelve trillion, nine hundred ninety-three billion, one hundred eighty-three million, two hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 1847 2281 3694 4562 7388 9124 14776 18248 29552 36496 59104 72992 96377 192754 385508 771016 1542032 3084064 4213007 8426014 16852028 33704056 67408112 134816224 178008319 219835937 356016638 439671874 712033276 879343748 1424066552 1758687496 2848133104 3517374992 5696266208 7034749984 406036975639 812073951278 1624147902556 3248295805112 6496591610224 12993183220448