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6479064144 = 2432719338297
BaseRepresentation
bin1100000100010111…
…01010110001010000
3121201112111120010200
412002023222301100
5101232120023034
62550524455200
7316362064560
oct60213526120
917645446120
106479064144
112825298873
1213099aa500
137c3400787
144566b4da0
1527dc17a99
hex1822eac50

6479064144 has 120 divisors (see below), whose sum is σ = 21813455040. Its totient is φ = 1753726464.

The previous prime is 6479064127. The next prime is 6479064167. The reversal of 6479064144 is 4414609746.

It is a self number, because there is not a number n which added to its sum of digits gives 6479064144.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 149997 + ... + 188300.

It is an arithmetic number, because the mean of its divisors is an integer number (181778792).

Almost surely, 26479064144 is an apocalyptic number.

It is an amenable number.

6479064144 is an abundant number, since it is smaller than the sum of its proper divisors (15334390896).

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

6479064144 is a wasteful number, since it uses less digits than its factorization.

6479064144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338337 (or 338328 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6479064144 is about 80492.6340977856. The cubic root of 6479064144 is about 1864.2497485666.

The spelling of 6479064144 in words is "six billion, four hundred seventy-nine million, sixty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 4788 6384 9576 19152 338297 676594 1014891 1353188 2029782 2368079 2706376 3044673 4059564 4736158 5412752 6089346 6427643 7104237 8119128 9472316 12178692 12855286 14208474 16238256 18944632 19282929 21312711 24357384 25710572 28416948 37889264 38565858 42625422 44993501 48714768 51421144 56833896 57848787 77131716 85250844 89987002 102842288 113667792 115697574 134980503 154263432 170501688 179974004 231395148 269961006 308526864 341003376 359948008 404941509 462790296 539922012 719896016 809883018 925580592 1079844024 1619766036 2159688048 3239532072 6479064144