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8482460642848 = 251924157889691
BaseRepresentation
bin111101101101111101000…
…0011011010111000100000
31010000220201021012110021101
41323123322003122320200
52102434034411032343
630012442202004144
71533560165550553
oct173337203327040
933026637173241
108482460642848
112780433994045
12b4bb5aaa6654
13496b7b09669a
142147a630469a
15ea9acd81e4d
hex7b6fa0dae20

8482460642848 has 48 divisors (see below), whose sum is σ = 17651724884640. Its totient is φ = 4001335372800.

The previous prime is 8482460642839. The next prime is 8482460642933.

8482460642848 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×84824606428482 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8482460642848.

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 7 ways as a sum of consecutive naturals, for example, 28798318 + ... + 29091373.

It is an arithmetic number, because the mean of its divisors is an integer number (367744268430).

Almost surely, 28482460642848 is an apocalyptic number.

It is an amenable number.

8482460642848 is an abundant number, since it is smaller than the sum of its proper divisors (9169264241792).

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

8482460642848 is a wasteful number, since it uses less digits than its factorization.

8482460642848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57889961 (or 57889953 counting only the distinct ones).

The product of its (nonzero) digits is 150994944, while the sum is 64.

The spelling of 8482460642848 in words is "eight trillion, four hundred eighty-two billion, four hundred sixty million, six hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 241 304 482 608 964 1928 3856 4579 7712 9158 18316 36632 73264 146528 57889691 115779382 231558764 463117528 926235056 1099904129 1852470112 2199808258 4399616516 8799233032 13951415531 17598466064 27902831062 35196932128 55805662124 111611324248 223222648496 265076895089 446445296992 530153790178 1060307580356 2120615160712 4241230321424 8482460642848