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12227764896 = 25321723108587
BaseRepresentation
bin10110110001101010…
…01110001010100000
31011120011200211001100
423120311032022200
5200020301434041
65341203234400
7612005200224
oct133065161240
934504624040
1012227764896
115205288826
122453078a00
1311cb3c0659
1483dd8a784
154b87616b6
hex2d8d4e2a0

12227764896 has 144 divisors (see below), whose sum is σ = 38419303104. Its totient is φ = 3669338112.

The previous prime is 12227764891. The next prime is 12227764903. The reversal of 12227764896 is 69846772221.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (12227764891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58315 + ... + 166901.

It is an arithmetic number, because the mean of its divisors is an integer number (266800716).

Almost surely, 212227764896 is an apocalyptic number.

12227764896 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 12227764896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19209651552).

12227764896 is an abundant number, since it is smaller than the sum of its proper divisors (26191538208).

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

12227764896 is a wasteful number, since it uses less digits than its factorization.

12227764896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108643 (or 108632 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 12227764896 in words is "twelve billion, two hundred twenty-seven million, seven hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 23 24 32 34 36 46 48 51 68 69 72 92 96 102 136 138 144 153 184 204 207 272 276 288 306 368 391 408 414 544 552 612 736 782 816 828 1104 1173 1224 1564 1632 1656 2208 2346 2448 3128 3312 3519 4692 4896 6256 6624 7038 9384 12512 14076 18768 28152 37536 56304 108587 112608 217174 325761 434348 651522 868696 977283 1303044 1737392 1845979 1954566 2497501 2606088 3474784 3691958 3909132 4995002 5212176 5537937 7383916 7492503 7818264 9990004 10424352 11075874 14767832 14985006 15636528 16613811 19980008 22151748 22477509 29535664 29970012 31273056 33227622 39960016 42457517 44303496 44955018 59071328 59940024 66455244 79920032 84915034 88606992 89910036 119880048 127372551 132910488 169830068 177213984 179820072 239760096 254745102 265820976 339660136 359640144 382117653 509490204 531641952 679320272 719280288 764235306 1018980408 1358640544 1528470612 2037960816 3056941224 4075921632 6113882448 12227764896