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4829442500480 = 275131075424877
BaseRepresentation
bin100011001000111000100…
…1101000110011110000000
3122002200122011002102201112
41012101301031012132000
51113111144240003410
614134340521222452
71005626041636013
oct106216115063600
918080564072645
104829442500480
1115a217842a794
1265bb8a631a28
132905507a2310
14129a63a6b37a
1585958ea1105
hex46471346780

4829442500480 has 128 divisors (see below), whose sum is σ = 12549695770080. Its totient is φ = 1766513221632.

The previous prime is 4829442500471. The next prime is 4829442500483. The reversal of 4829442500480 is 840052449284.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4829442500483) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1822199 + ... + 3602678.

Almost surely, 24829442500480 is an apocalyptic number.

4829442500480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4829442500480 is an abundant number, since it is smaller than the sum of its proper divisors (7720253269600).

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

4829442500480 is a wasteful number, since it uses less digits than its factorization.

4829442500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5425016 (or 5425004 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 50.

The spelling of 4829442500480 in words is "four trillion, eight hundred twenty-nine billion, four hundred forty-two million, five hundred thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 107 128 130 160 208 214 260 320 416 428 520 535 640 832 856 1040 1070 1391 1664 1712 2080 2140 2782 3424 4160 4280 5564 6848 6955 8320 8560 11128 13696 13910 17120 22256 27820 34240 44512 55640 68480 89024 111280 178048 222560 445120 890240 5424877 10849754 21699508 27124385 43399016 54248770 70523401 86798032 108497540 141046802 173596064 216995080 282093604 347192128 352617005 433990160 564187208 580461839 694384256 705234010 867980320 1128374416 1160923678 1410468020 1735960640 2256748832 2321847356 2820936040 2902309195 3471921280 4513497664 4643694712 5641872080 5804618390 7546003907 9026995328 9287389424 11283744160 11609236780 15092007814 18574778848 22567488320 23218473560 30184015628 37149557696 37730019535 45134976640 46436947120 60368031256 74299115392 75460039070 92873894240 120736062512 150920078140 185747788480 241472125024 301840156280 371495576960 482944250048 603680312560 965888500096 1207360625120 2414721250240 4829442500480