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1306261122656 = 257171242127617
BaseRepresentation
bin10011000000100011001…
…110101110111001100000
311121212200120202102211212
4103000203032232321200
5132400210321411111
62440031005125252
7163242240225320
oct23004316567140
94555616672755
101306261122656
11463a89393326
121911b4259828
13962452cb449
144731ad2b280
1523ea393c98b
hex130233aee60

1306261122656 has 96 divisors (see below), whose sum is σ = 3112338261312. Its totient is φ = 526833745920.

The previous prime is 1306261122653. The next prime is 1306261122659. The reversal of 1306261122656 is 6562211626031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1306261122653) and next prime (1306261122659).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306261122653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47285360 + ... + 47312976.

It is an arithmetic number, because the mean of its divisors is an integer number (32420190222).

Almost surely, 21306261122656 is an apocalyptic number.

1306261122656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1306261122656 is an abundant number, since it is smaller than the sum of its proper divisors (1806077138656).

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

1306261122656 is a wasteful number, since it uses less digits than its factorization.

1306261122656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40072 (or 40064 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

Adding to 1306261122656 its reverse (6562211626031), we get a palindrome (7868472748687).

The spelling of 1306261122656 in words is "one trillion, three hundred six billion, two hundred sixty-one million, one hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 12421 24842 27617 49684 55234 86947 99368 110468 173894 193319 198736 211157 220936 347788 386638 397472 422314 441872 469489 695576 773276 844628 883744 938978 1391152 1478099 1546552 1689256 1877956 2782304 2956198 3093104 3286423 3378512 3755912 5912396 6186208 6572846 6757024 7511824 11824792 13145692 15023648 23649584 26291384 47299168 52582768 105165536 343030757 686061514 1372123028 2401215299 2744246056 4802430598 5488492112 5831522869 9604861196 10976984224 11663045738 19209722392 23326091476 38419444784 40820660083 46652182952 76838889568 81641320166 93304365904 163282640332 186608731808 326565280664 653130561328 1306261122656