Search a number
-
+
12209757276 = 22319238926161
BaseRepresentation
bin10110101111100001…
…00001110001011100
31011111220210221020110
423113300201301130
5200001144213101
65335321250020
7611366136663
oct132760416134
934456727213
1012209757276
1151a60a93a2
122449033910
1311c7757062
1483b81ddda
154b6da5cd6
hex2d7c21c5c

12209757276 has 96 divisors (see below), whose sum is σ = 31645555200. Its totient is φ = 3646494720.

The previous prime is 12209757271. The next prime is 12209757281. The reversal of 12209757276 is 67275790221.

It is a happy number.

12209757276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12209757271) and next prime (12209757281).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12209757271) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 453636 + ... + 479796.

It is an arithmetic number, because the mean of its divisors is an integer number (329641200).

Almost surely, 212209757276 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 12209757276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15822777600).

12209757276 is an abundant number, since it is smaller than the sum of its proper divisors (19435797924).

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

12209757276 is a wasteful number, since it uses less digits than its factorization.

12209757276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26299 (or 26297 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 48.

The spelling of 12209757276 in words is "twelve billion, two hundred nine million, seven hundred fifty-seven thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 89 92 114 138 178 228 267 276 356 437 534 874 1068 1311 1691 1748 2047 2622 3382 4094 5073 5244 6141 6764 8188 10146 12282 20292 24564 26161 38893 52322 77786 78483 104644 116679 155572 156966 233358 313932 466716 497059 601703 994118 1203406 1491177 1805109 1988236 2328329 2406812 2982354 3610218 4656658 5964708 6984987 7220436 9313316 11432357 13969974 22864714 27939948 34297071 44238251 45729428 53551567 68594142 88476502 107103134 132714753 137188284 160654701 176953004 214206268 265429506 321309402 530859012 642618804 1017479773 2034959546 3052439319 4069919092 6104878638 12209757276