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12581022336 = 2731071272411
BaseRepresentation
bin10111011011110001…
…10010101010000000
31012110210102011011020
423231320302222000
5201231220203321
65440222545440
7623524632261
oct135570625200
935423364136
1012581022336
115376728323
122531438280
13125664741c
14874c64968
154d97904c6
hex2ede32a80

12581022336 has 128 divisors (see below), whose sum is σ = 34010357760. Its totient is φ = 4120058880.

The previous prime is 12581022271. The next prime is 12581022341. The reversal of 12581022336 is 63322018521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 12581022297 and 12581022306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5216971 + ... + 5219381.

It is an arithmetic number, because the mean of its divisors is an integer number (265705920).

Almost surely, 212581022336 is an apocalyptic number.

12581022336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12581022336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17005178880).

12581022336 is an abundant number, since it is smaller than the sum of its proper divisors (21429335424).

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

12581022336 is a wasteful number, since it uses less digits than its factorization.

12581022336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 12581022336 in words is "twelve billion, five hundred eighty-one million, twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 127 128 192 214 254 321 381 384 428 508 642 762 856 1016 1284 1524 1712 2032 2411 2568 3048 3424 4064 4822 5136 6096 6848 7233 8128 9644 10272 12192 13589 13696 14466 16256 19288 20544 24384 27178 28932 38576 40767 41088 48768 54356 57864 77152 81534 108712 115728 154304 163068 217424 231456 257977 306197 308608 326136 434848 462912 515954 612394 652272 773931 869696 918591 925824 1031908 1224788 1304544 1547862 1739392 1837182 2063816 2449576 2609088 3095724 3674364 4127632 4899152 5218176 6191448 7348728 8255264 9798304 12382896 14697456 16510528 19596608 24765792 29394912 32763079 33021056 39193216 49531584 58789824 65526158 98289237 99063168 117579648 131052316 196578474 262104632 393156948 524209264 786313896 1048418528 1572627792 2096837056 3145255584 4193674112 6290511168 12581022336