Search a number
-
+
6803674151680 = 28576431180931
BaseRepresentation
bin110001100000001101010…
…0101001011101100000000
3220002102110202020112110201
41203000122211023230000
51342432411040323210
622245321553134544
71301356250042530
oct143003245135400
926072422215421
106803674151680
11219347076173a
1291a72085a454
133a477857ca03
1419742a0c74c0
15bbea4ad753a
hex6301a94bb00

6803674151680 has 144 divisors (see below), whose sum is σ = 18654039661824. Its totient is φ = 2329058488320.

The previous prime is 6803674151647. The next prime is 6803674151683. The reversal of 6803674151680 is 861514763086.

It is not an unprimeable number, because it can be changed into a prime (6803674151683) 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, 5170815 + ... + 6351745.

It is an arithmetic number, because the mean of its divisors is an integer number (129541942096).

Almost surely, 26803674151680 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 6803674151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9327019830912).

6803674151680 is an abundant number, since it is smaller than the sum of its proper divisors (11850365510144).

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

6803674151680 is a wasteful number, since it uses less digits than its factorization.

6803674151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181602 (or 1181588 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 6803674151680 in words is "six trillion, eight hundred three billion, six hundred seventy-four million, one hundred fifty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 643 896 1120 1280 1286 1792 2240 2572 3215 4480 4501 5144 6430 8960 9002 10288 12860 18004 20576 22505 25720 36008 41152 45010 51440 72016 82304 90020 102880 144032 164608 180040 205760 288064 360080 411520 576128 720160 823040 1152256 1180931 1440320 2361862 2880640 4723724 5761280 5904655 8266517 9447448 11809310 16533034 18894896 23618620 33066068 37789792 41332585 47237240 66132136 75579584 82665170 94474480 132264272 151159168 165330340 188948960 264528544 302318336 330660680 377897920 529057088 661321360 755795840 759338633 1058114176 1322642720 1511591680 1518677266 2116228352 2645285440 3037354532 3796693165 5290570880 5315370431 6074709064 7593386330 10581141760 10630740862 12149418128 15186772660 21261481724 24298836256 26576852155 30373545320 42522963448 48597672512 53153704310 60747090640 85045926896 97195345024 106307408620 121494181280 170091853792 194390690048 212614817240 242988362560 340183707584 425229634480 485976725120 680367415168 850459268960 971953450240 1360734830336 1700918537920 3401837075840 6803674151680