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6512645328 = 2437174127809
BaseRepresentation
bin1100001000010111…
…10001010011010000
3121210212200122212020
412010023301103100
5101314214122303
62554124331440
7320250400110
oct60413612320
917725618766
106512645328
112842244912
1213190a3b80
137ca35a7b7
1445ad37040
15281b4ca53
hex1842f14d0

6512645328 has 160 divisors (see below), whose sum is σ = 20856165120. Its totient is φ = 1708523520.

The previous prime is 6512645327. The next prime is 6512645341. The reversal of 6512645328 is 8235462156.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6512645328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6512645327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220288 + ... + 248096.

It is an arithmetic number, because the mean of its divisors is an integer number (130351032).

Almost surely, 26512645328 is an apocalyptic number.

6512645328 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6512645328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10428082560).

6512645328 is an abundant number, since it is smaller than the sum of its proper divisors (14343519792).

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

6512645328 is a wasteful number, since it uses less digits than its factorization.

6512645328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27885 (or 27879 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 6512645328 is about 80700.9623734438. The cubic root of 6512645328 is about 1867.4650208051.

The spelling of 6512645328 in words is "six billion, five hundred twelve million, six hundred forty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 41 42 48 51 56 68 82 84 102 112 119 123 136 164 168 204 238 246 272 287 328 336 357 408 476 492 574 656 697 714 816 861 952 984 1148 1394 1428 1722 1904 1968 2091 2296 2788 2856 3444 4182 4592 4879 5576 5712 6888 8364 9758 11152 13776 14637 16728 19516 27809 29274 33456 39032 55618 58548 78064 83427 111236 117096 166854 194663 222472 234192 333708 389326 444944 472753 583989 667416 778652 945506 1140169 1167978 1334832 1418259 1557304 1891012 2280338 2335956 2836518 3114608 3309271 3420507 3782024 4560676 4671912 5673036 6618542 6841014 7564048 7981183 9121352 9343824 9927813 11346072 13237084 13682028 15962366 18242704 19382873 19855626 22692144 23943549 26474168 27364056 31924732 38765746 39711252 47887098 52948336 54728112 58148619 63849464 77531492 79422504 95774196 116297238 127698928 135680111 155062984 158845008 191548392 232594476 271360222 310125968 383096784 407040333 465188952 542720444 814080666 930377904 1085440888 1628161332 2170881776 3256322664 6512645328