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11353256074056 = 2331325641496211
BaseRepresentation
bin1010010100110110001011…
…0010111001101101001000
31111012100201221021120120210
42211031202302321231020
52442002432023332211
640051340331121120
72251150161235011
oct245154262715510
944170657246523
1011353256074056
113687986090956
1213344065a31a0
136447b8765200
142b370162c008
1514a4ce4d59a6
hexa5362cb9b48

11353256074056 has 96 divisors (see below), whose sum is σ = 30739916581920. Its totient is φ = 3492683251200.

The previous prime is 11353256074003. The next prime is 11353256074079. The reversal of 11353256074056 is 65047065235311.

It is a happy number.

It is a super-3 number, since 3×113532560740563 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11353256073996 and 11353256074014.

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, 22631791 + ... + 23128001.

It is an arithmetic number, because the mean of its divisors is an integer number (320207464395).

Almost surely, 211353256074056 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 11353256074056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15369958290960).

11353256074056 is an abundant number, since it is smaller than the sum of its proper divisors (19386660507864).

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

11353256074056 is a wasteful number, since it uses less digits than its factorization.

11353256074056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501887 (or 501870 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 11353256074056 in words is "eleven trillion, three hundred fifty-three billion, two hundred fifty-six million, seventy-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 4056 5641 11282 16923 22564 33846 45128 67692 73333 135384 146666 219999 293332 439998 496211 586664 879996 953329 992422 1488633 1759992 1906658 1984844 2859987 2977266 3813316 3969688 5719974 5954532 6450743 7626632 11439948 11909064 12901486 19352229 22879896 25802972 38704458 51605944 77408916 83859659 154817832 167719318 251578977 335438636 503157954 670877272 1006315908 2012631816 2799126251 5598252502 8397378753 11196505004 16794757506 22393010008 33589515012 36388641263 67179030024 72777282526 109165923789 145554565052 218331847578 291109130104 436663695156 473052336419 873327390312 946104672838 1419157009257 1892209345676 2838314018514 3784418691352 5676628037028 11353256074056