Search a number
-
+
473512508028672 = 2837471874020501
BaseRepresentation
bin110101110101010000011100…
…0110101100111011100000000
32022002120100112211102120022020
41223222200320311213130000
5444031012104023404142
64355024350531441440
7201511102240132050
oct15352407065473400
92262510484376266
10473512508028672
1112796a588377a72
1245135a90a56280
131742a0653a04c8
1484d01b048d560
1539b223111dcec
hex1aea838d67700

473512508028672 has 144 divisors (see below), whose sum is σ = 1470911195937792. Its totient is φ = 132410792448000.

The previous prime is 473512508028647. The next prime is 473512508028691. The reversal of 473512508028672 is 276820805215374.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936757579 + ... + 937262922.

Almost surely, 2473512508028672 is an apocalyptic number.

473512508028672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

473512508028672 is an abundant number, since it is smaller than the sum of its proper divisors (997398687909120).

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

473512508028672 is a wasteful number, since it uses less digits than its factorization.

473512508028672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874020574 (or 1874020560 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 60.

The spelling of 473512508028672 in words is "four hundred seventy-three trillion, five hundred twelve billion, five hundred eight million, twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 128 141 168 188 192 224 256 282 329 336 376 384 448 564 658 672 752 768 896 987 1128 1316 1344 1504 1792 1974 2256 2632 2688 3008 3948 4512 5264 5376 6016 7896 9024 10528 12032 15792 18048 21056 31584 36096 42112 63168 84224 126336 252672 1874020501 3748041002 5622061503 7496082004 11244123006 13118143507 14992164008 22488246012 26236287014 29984328016 39354430521 44976492024 52472574028 59968656032 78708861042 88078963547 89952984048 104945148056 119937312064 157417722084 176157927094 179905968096 209890296112 239874624128 264236890641 314835444168 352315854188 359811936192 419780592224 479749248256 528473781282 616552744829 629670888336 704631708376 719623872384 839561184448 1056947562564 1233105489658 1259341776672 1409263416752 1439247744768 1679122368896 1849658234487 2113895125128 2466210979316 2518683553344 2818526833504 3358244737792 3699316468974 4227790250256 4932421958632 5037367106688 5637053667008 7398632937948 8455580500512 9864843917264 10074734213376 11274107334016 14797265875896 16911161001024 19729687834528 22548214668032 29594531751792 33822322002048 39459375669056 59189063503584 67644644004096 78918751338112 118378127007168 157837502676224 236756254014336 473512508028672