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1325748812256 = 2532112411736437
BaseRepresentation
bin10011010010101100110…
…010010111100111100000
311200201222201021122100100
4103102230302113213200
5133210113143443011
62453012434022400
7164532201654021
oct23225462274740
94621881248310
101325748812256
11471279707a20
12194b32717a00
139802c80091b
1448249174c48
152474470cd56
hex134acc979e0

1325748812256 has 144 divisors (see below), whose sum is σ = 4129902464688. Its totient is φ = 400074854400.

The previous prime is 1325748812243. The next prime is 1325748812281. The reversal of 1325748812256 is 6522188475231.

It is a happy number.

1325748812256 is a `hidden beast` number, since 1 + 3 + 2 + 574 + 8 + 8 + 12 + 2 + 56 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104731 + ... + 1631706.

It is an arithmetic number, because the mean of its divisors is an integer number (28679878227).

Almost surely, 21325748812256 is an apocalyptic number.

1325748812256 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 1325748812256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064951232344).

1325748812256 is an abundant number, since it is smaller than the sum of its proper divisors (2804153652432).

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

1325748812256 is a wasteful number, since it uses less digits than its factorization.

1325748812256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736705 (or 1736694 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 1325748812256 in words is "one trillion, three hundred twenty-five billion, seven hundred forty-eight million, eight hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 241 264 288 352 396 482 528 723 792 964 1056 1446 1584 1928 2169 2651 2892 3168 3856 4338 5302 5784 7712 7953 8676 10604 11568 15906 17352 21208 23136 23859 31812 34704 42416 47718 63624 69408 84832 95436 127248 190872 254496 381744 763488 1736437 3472874 5209311 6945748 10418622 13891496 15627933 19100807 20837244 27782992 31255866 38201614 41674488 55565984 57302421 62511732 76403228 83348976 114604842 125023464 152806456 166697952 171907263 229209684 250046928 305612912 343814526 418481317 458419368 500093856 611225824 687629052 836962634 916838736 1255443951 1375258104 1673925268 1833677472 2510887902 2750516208 3347850536 3766331853 4603294487 5021775804 5501032416 6695701072 7532663706 9206588974 10043551608 13391402144 13809883461 15065327412 18413177948 20087103216 27619766922 30130654824 36826355896 40174206432 41429650383 55239533844 60261309648 73652711792 82859300766 110479067688 120522619296 147305423584 165718601532 220958135376 331437203064 441916270752 662874406128 1325748812256