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480853855076064 = 25329172720493921
BaseRepresentation
bin110110101010101011000001…
…1001110000111111011100000
32100001120011211221002012120020
41231111112003032013323200
51001011302143344413224
64422405113401113440
7203166354535335411
oct15525260316077340
92301504757065506
10480853855076064
1112a23aa7a3a1258
1245b20847188880
13178404299a8442
1486a5644c81808
153a8d1a3d98c79
hex1b55583387ee0

480853855076064 has 48 divisors (see below), whose sum is σ = 1305766934050320. Its totient is φ = 154757562552320.

The previous prime is 480853855075973. The next prime is 480853855076159. The reversal of 480853855076064 is 460670558358084.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×4808538550760643 (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480853855076064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86360244177 + ... + 86360249744.

It is an arithmetic number, because the mean of its divisors is an integer number (27203477792715).

Almost surely, 2480853855076064 is an apocalyptic number.

It is an amenable number.

480853855076064 is an abundant number, since it is smaller than the sum of its proper divisors (824913078974256).

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

480853855076064 is a wasteful number, since it uses less digits than its factorization.

480853855076064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172720493963 (or 172720493955 counting only the distinct ones).

The product of its (nonzero) digits is 774144000, while the sum is 69.

The spelling of 480853855076064 in words is "four hundred eighty trillion, eight hundred fifty-three billion, eight hundred fifty-five million, seventy-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 172720493921 345440987842 518161481763 690881975684 1036322963526 1381763951368 2072645927052 2763527902736 4145291854104 5008894323709 5527055805472 8290583708208 10017788647418 15026682971127 16581167416416 20035577294836 30053365942254 40071154589672 60106731884508 80142309179344 120213463769016 160284618358688 240426927538032 480853855076064