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3481287082944 = 2631115110916137
BaseRepresentation
bin110010101010001100111…
…000010100001111000000
3110022210210212211022022120
4302222030320110033000
5424014133443123234
611223140424004240
7506341352651106
oct62521470241700
913283725738276
103481287082944
11112245088a670
12482844000680
131c338cb37798
14c06d0b51c76
15608525e9049
hex32a8ce143c0

3481287082944 has 112 divisors (see below), whose sum is σ = 10114806141696. Its totient is φ = 1047949056000.

The previous prime is 3481287082937. The next prime is 3481287082957. The reversal of 3481287082944 is 4492807821843.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5139157 + ... + 5776980.

Almost surely, 23481287082944 is an apocalyptic number.

It is an amenable number.

3481287082944 is an abundant number, since it is smaller than the sum of its proper divisors (6633519058752).

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

3481287082944 is a wasteful number, since it uses less digits than its factorization.

3481287082944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10916314 (or 10916304 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 60.

The spelling of 3481287082944 in words is "three trillion, four hundred eighty-one billion, two hundred eighty-seven million, eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 151 176 192 264 302 352 453 528 604 704 906 1056 1208 1661 1812 2112 2416 3322 3624 4832 4983 6644 7248 9664 9966 13288 14496 19932 26576 28992 39864 53152 79728 106304 159456 318912 10916137 21832274 32748411 43664548 65496822 87329096 120077507 130993644 174658192 240155014 261987288 349316384 360232521 480310028 523974576 698632768 720465042 960620056 1047949152 1440930084 1648336687 1921240112 2095898304 2881860168 3296673374 3842480224 4945010061 5763720336 6593346748 7684960448 9890020122 11527440672 13186693496 18131703557 19780040244 23054881344 26373386992 36263407114 39560080488 52746773984 54395110671 72526814228 79120160976 105493547968 108790221342 145053628456 158240321952 217580442684 290107256912 316480643904 435160885368 580214513824 870321770736 1160429027648 1740643541472 3481287082944