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4303648481781 = 3114137949117093
BaseRepresentation
bin111110101000000101011…
…100000110000111110101
3120020102110122212210210010
4332220011130012013311
51031002333002404111
613053022510450433
7622633264342545
oct76500534060765
916212418783703
104303648481781
11140a192410270
125960ab203a19
13252aa87807ac
1410c424c51325
1576e33b05aa6
hex3ea057061f5

4303648481781 has 64 divisors (see below), whose sum is σ = 6442922787840. Its totient is φ = 2532624192000.

The previous prime is 4303648481767. The next prime is 4303648481801. The reversal of 4303648481781 is 1871848463034.

4303648481781 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-4303648481781 is a prime.

It is a super-2 number, since 2×43036484817812 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4303648481701) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251769871 + ... + 251786963.

It is an arithmetic number, because the mean of its divisors is an integer number (100670668560).

Almost surely, 24303648481781 is an apocalyptic number.

4303648481781 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4303648481781 is a deficient number, since it is larger than the sum of its proper divisors (2139274306059).

4303648481781 is a wasteful number, since it uses less digits than its factorization.

4303648481781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18018.

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 4303648481781 in words is "four trillion, three hundred three billion, six hundred forty-eight million, four hundred eighty-one thousand, seven hundred eighty-one".

Divisors: 1 3 11 33 41 123 379 451 491 1137 1353 1473 4169 5401 12507 15539 16203 17093 20131 46617 51279 60393 170929 186089 188023 221441 512787 558267 564069 664323 700813 2046979 2102439 6140937 6478247 7629649 7708943 8392663 19434741 22888947 23126829 25177989 71260717 83926139 92319293 213782151 251778417 265608127 276957879 344099183 796824381 1032297549 2921689397 3180819277 3785091013 8765068191 9542457831 11355273039 34989012047 104967036141 130413590357 391240771071 1434549493927 4303648481781