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1006240463256 = 2337181279711831
BaseRepresentation
bin11101010010010001001…
…10101111100110011000
310120012021121221210201210
432221020212233212120
5112441240024311011
62050132133143120
7132461401546320
oct16511046574630
93505247853653
101006240463256
11358820566346
12143023a8aaa0
1373b71118252
14369b916c280
151b29454c6a6
hexea489af998

1006240463256 has 128 divisors (see below), whose sum is σ = 2892134568960. Its totient is φ = 285782515200.

The previous prime is 1006240463251. The next prime is 1006240463287. The reversal of 1006240463256 is 6523640426001.

1006240463256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10062404632562 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006240463251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85045261 + ... + 85057091.

It is an arithmetic number, because the mean of its divisors is an integer number (22594801320).

Almost surely, 21006240463256 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 1006240463256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446067284480).

1006240463256 is an abundant number, since it is smaller than the sum of its proper divisors (1885894105704).

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

1006240463256 is a wasteful number, since it uses less digits than its factorization.

1006240463256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14825 (or 14821 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

Adding to 1006240463256 its reverse (6523640426001), we get a palindrome (7529880889257).

The spelling of 1006240463256 in words is "one trillion, six billion, two hundred forty million, four hundred sixty-three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 181 362 543 724 1086 1267 1448 2172 2534 2797 3801 4344 5068 5594 7602 8391 10136 11188 11831 15204 16782 19579 22376 23662 30408 33564 35493 39158 47324 58737 67128 70986 78316 82817 94648 117474 141972 156632 165634 234948 248451 283944 331268 469896 496902 506257 662536 993804 1012514 1518771 1987608 2025028 2141411 3037542 3543799 4050056 4282822 6075084 6424233 7087598 8565644 10631397 12150168 12848466 14175196 14989877 17131288 21262794 25696932 28350392 29979754 33091307 42525588 44969631 51393864 59959508 66182614 85051176 89939262 99273921 119919016 132365228 179878524 198547842 231639149 264730456 359757048 397095684 463278298 694917447 794191368 926556596 1389834894 1853113192 2779669788 5559339576 5989526567 11979053134 17968579701 23958106268 35937159402 41926685969 47916212536 71874318804 83853371938 125780057907 143748637608 167706743876 251560115814 335413487752 503120231628 1006240463256