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6481613952 = 273311170497
BaseRepresentation
bin1100000100101010…
…11001010010000000
3121201201022002211000
412002111121102000
5101233243121302
62551055252000
7316422544452
oct60225312200
917651262730
106481613952
11282677a550
12130a81a000
137c3ab4238
14456b7a2d2
1527e06d31c
hex182559480

6481613952 has 128 divisors (see below), whose sum is σ = 20868955200. Its totient is φ = 1964113920.

The previous prime is 6481613933. The next prime is 6481613993. The reversal of 6481613952 is 2593161846.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×64816139522 = 84022638845522116608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6481613898 and 6481613907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47233 + ... + 123264.

Almost surely, 26481613952 is an apocalyptic number.

It is an amenable number.

6481613952 is an abundant number, since it is smaller than the sum of its proper divisors (14387341248).

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

6481613952 is a wasteful number, since it uses less digits than its factorization.

6481613952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170531 (or 170513 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 6481613952 is about 80508.4713058197. The cubic root of 6481613952 is about 1864.4942723323.

The spelling of 6481613952 in words is "six billion, four hundred eighty-one million, six hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2376 3168 3456 4224 4752 6336 9504 12672 19008 38016 170497 340994 511491 681988 1022982 1363976 1534473 1875467 2045964 2727952 3068946 3750934 4091928 4603419 5455904 5626401 6137892 7501868 8183856 9206838 10911808 11252802 12275784 15003736 16367712 16879203 18413676 21823616 22505604 24551568 30007472 32735424 33758406 36827352 45011208 49103136 50637609 60014944 65470848 67516812 73654704 90022416 98206272 101275218 120029888 135033624 147309408 180044832 196412544 202550436 240059776 270067248 294618816 360089664 405100872 540134496 589237632 720179328 810201744 1080268992 1620403488 2160537984 3240806976 6481613952