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6728238006672 = 2437213220049647
BaseRepresentation
bin110000111101000101000…
…1111001000000110010000
3212211012202110211022120010
41201322022033020012100
51340213412412203142
622150524310514520
71263046003302600
oct141721217100620
925735673738503
106728238006672
11216447aa4a446
12907b89365a40
1339a615b1b210
1419391151ac00
15ba03c11be9c
hex61e8a3c8190

6728238006672 has 120 divisors (see below), whose sum is σ = 21774352768896. Its totient is φ = 1774480345344.

The previous prime is 6728238006619. The next prime is 6728238006733. The reversal of 6728238006672 is 2766008328276.

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 23 ways as a sum of consecutive naturals, for example, 109994248 + ... + 110055399.

Almost surely, 26728238006672 is an apocalyptic number.

It is an amenable number.

6728238006672 is an abundant number, since it is smaller than the sum of its proper divisors (15046114762224).

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

6728238006672 is a wasteful number, since it uses less digits than its factorization.

6728238006672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220049685 (or 220049672 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 6728238006672 in words is "six trillion, seven hundred twenty-eight billion, two hundred thirty-eight million, six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1911 2184 2352 2548 3822 4368 5096 7644 10192 15288 30576 220049647 440099294 660148941 880198588 1320297882 1540347529 1760397176 2640595764 2860645411 3080695058 3520794352 4621042587 5281191528 5721290822 6161390116 8581936233 9242085174 10562383056 10782432703 11442581644 12322780232 17163872466 18484170348 20024517877 21564865406 22885163288 24645560464 32347298109 34327744932 36968340696 40049035754 43129730812 45770326576 60073553631 64694596218 68655489864 73936681392 80098071508 86259461624 120147107262 129389192436 137310979728 140171625139 160196143016 172518923248 240294214524 258778384872 280343250278 320392286032 420514875417 480588429048 517556769744 560686500556 841029750834 961176858096 1121373001112 1682059501668 2242746002224 3364119003336 6728238006672