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6482378112 = 273722910531
BaseRepresentation
bin1100000100110000…
…10011110110000000
3121201202201221001020
412002120103312000
5101233442044422
62551123505440
7316432206360
oct60230236600
917652657036
106482378112
112827151691
12130ab28280
137c3cc0cc2
14456cd89a0
1527e16e95c
hex182613d80

6482378112 has 128 divisors (see below), whose sum is σ = 19766457600. Its totient is φ = 1843845120.

The previous prime is 6482378107. The next prime is 6482378117. The reversal of 6482378112 is 2118732846.

It is an interprime number because it is at equal distance from previous prime (6482378107) and next prime (6482378117).

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6482378117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610287 + ... + 620817.

It is an arithmetic number, because the mean of its divisors is an integer number (154425450).

Almost surely, 26482378112 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 6482378112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9883228800).

6482378112 is an abundant number, since it is smaller than the sum of its proper divisors (13284079488).

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

6482378112 is a wasteful number, since it uses less digits than its factorization.

6482378112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10784 (or 10772 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 6482378112 is about 80513.2170019308. The cubic root of 6482378112 is about 1864.5675419411.

The spelling of 6482378112 in words is "six billion, four hundred eighty-two million, three hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 229 336 384 448 458 672 687 896 916 1344 1374 1603 1832 2688 2748 3206 3664 4809 5496 6412 7328 9618 10531 10992 12824 14656 19236 21062 21984 25648 29312 31593 38472 42124 43968 51296 63186 73717 76944 84248 87936 102592 126372 147434 153888 168496 205184 221151 252744 294868 307776 336992 442302 505488 589736 615552 673984 884604 1010976 1179472 1347968 1769208 2021952 2358944 2411599 3538416 4043904 4717888 4823198 7076832 7234797 9435776 9646396 14153664 14469594 16881193 19292792 28307328 28939188 33762386 38585584 50643579 57878376 67524772 77171168 101287158 115756752 135049544 154342336 202574316 231513504 270099088 308684672 405148632 463027008 540198176 810297264 926054016 1080396352 1620594528 2160792704 3241189056 6482378112