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12810952704 = 21331147389
BaseRepresentation
bin10111110111001011…
…11010000000000000
31020001211001211022210
423323211322000000
5202214100441304
65515115102120
7632316205224
oct137345720000
936054054283
1012810952704
1154844a3420
122596441940
131292180ab4
148975d8784
154eea5cc89
hex2fb97a000

12810952704 has 112 divisors (see below), whose sum is σ = 37266737760. Its totient is φ = 3882024960.

The previous prime is 12810952691. The next prime is 12810952729. The reversal of 12810952704 is 40725901821.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246642 + ... + 294030.

It is an arithmetic number, because the mean of its divisors is an integer number (332738730).

Almost surely, 212810952704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12810952704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18633368880).

12810952704 is an abundant number, since it is smaller than the sum of its proper divisors (24455785056).

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

12810952704 is an equidigital number, since it uses as much as digits as its factorization.

12810952704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47429 (or 47405 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 12810952704 in words is "twelve billion, eight hundred ten million, nine hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4096 4224 5632 6144 8192 8448 11264 12288 16896 22528 24576 33792 45056 47389 67584 90112 94778 135168 142167 189556 270336 284334 379112 521279 568668 758224 1042558 1137336 1516448 1563837 2085116 2274672 3032896 3127674 4170232 4549344 6065792 6255348 8340464 9098688 12131584 12510696 16680928 18197376 24263168 25021392 33361856 36394752 48526336 50042784 66723712 72789504 97052672 100085568 133447424 145579008 194105344 200171136 266894848 291158016 388210688 400342272 533789696 582316032 800684544 1067579392 1164632064 1601369088 2135158784 3202738176 4270317568 6405476352 12810952704