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12581660224 = 267220032
BaseRepresentation
bin10111011011110110…
…01110011001000000
31012110211121120011201
423231323032121000
5201231401111344
65440244350544
7623533230100
oct135573163100
935424546151
1012581660224
115377023601
1225316a5454
13125680b883
14874d8d200
154d98694d4
hex2edece640

12581660224 has 63 divisors (see below), whose sum is σ = 29057440107. Its totient is φ = 5389448064.

The previous prime is 12581660213. The next prime is 12581660233. The reversal of 12581660224 is 42206618521.

The square root of 12581660224 is 112168.

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

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, 6280407 + ... + 6282409.

Almost surely, 212581660224 is an apocalyptic number.

12581660224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12581660224 is the 112168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12581660224

12581660224 is an abundant number, since it is smaller than the sum of its proper divisors (16475779883).

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

12581660224 is an frugal number, since it uses more digits than its factorization.

12581660224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 12581660224 in words is "twelve billion, five hundred eighty-one million, six hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 2003 3136 4006 8012 14021 16024 28042 32048 56084 64096 98147 112168 128192 196294 224336 392588 448672 785176 897344 1570352 3140704 4012009 6281408 8024018 16048036 28084063 32096072 56168126 64192144 112336252 128384288 196588441 224672504 256768576 393176882 449345008 786353764 898690016 1572707528 1797380032 3145415056 6290830112 12581660224