Search a number
-
+
12697154904 = 2337472576257
BaseRepresentation
bin10111101001100111…
…10011010101011000
31012202212221022002110
423310303303111120
5202000432424104
65455532032320
7626435015220
oct136463632530
935685838073
1012697154904
115426238455
1225643026a0
131274718c15
14886455080
154e4a7ee89
hex2f4cf3558

12697154904 has 128 divisors (see below), whose sum is σ = 37199554560. Its totient is φ = 3536191488.

The previous prime is 12697154867. The next prime is 12697154959. The reversal of 12697154904 is 40945179621.

It is a happy number.

It is a super-2 number, since 2×126971549042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2026144 + ... + 2032400.

It is an arithmetic number, because the mean of its divisors is an integer number (290621520).

Almost surely, 212697154904 is an apocalyptic number.

12697154904 is a gapful number since it is divisible by the number (14) 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 12697154904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18599777280).

12697154904 is an abundant number, since it is smaller than the sum of its proper divisors (24502399656).

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

12697154904 is a wasteful number, since it uses less digits than its factorization.

12697154904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6577 (or 6573 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 12697154904 in words is "twelve billion, six hundred ninety-seven million, one hundred fifty-four thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 257 282 329 376 514 564 658 771 987 1028 1128 1316 1542 1799 1974 2056 2632 3084 3598 3948 5397 6168 6257 7196 7896 10794 12079 12514 14392 18771 21588 24158 25028 36237 37542 43176 43799 48316 50056 72474 75084 84553 87598 96632 131397 144948 150168 169106 175196 253659 262794 289896 294079 338212 350392 507318 525588 588158 676424 882237 1014636 1051176 1176316 1608049 1764474 2029272 2058553 2352632 3216098 3528948 4117106 4824147 6175659 6432196 7057896 8234212 9648294 11256343 12351318 12864392 16468424 19296588 22512686 24702636 33769029 38593176 45025372 49405272 67538058 75578303 90050744 135076116 151156606 226734909 270152232 302313212 453469818 529048121 604626424 906939636 1058096242 1587144363 1813879272 2116192484 3174288726 4232384968 6348577452 12697154904