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482716487808 = 2732419024729
BaseRepresentation
bin1110000011001000010…
…01010001000010000000
31201010222100020022201100
413001210021101002000
530402100410102213
61005431253334400
746606110306102
oct7014411210200
91633870208640
10482716487808
1117679a966a25
1279678937400
133669b4b0499
1419513a23572
15c853607773
hex7064251080

482716487808 has 48 divisors (see below), whose sum is σ = 1389066979950. Its totient is φ = 160905495552.

The previous prime is 482716487807. The next prime is 482716487821. The reversal of 482716487808 is 808784617284.

482716487808 is a `hidden beast` number, since 4 + 8 + 2 + 71 + 6 + 487 + 80 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 377693826624 + 105022661184 = 614568^2 + 324072^2 .

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

It is not an unprimeable number, because it can be changed into a prime (482716487807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 209511213 + ... + 209513516.

Almost surely, 2482716487808 is an apocalyptic number.

482716487808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

482716487808 is an abundant number, since it is smaller than the sum of its proper divisors (906350492142).

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

482716487808 is a wasteful number, since it uses less digits than its factorization.

482716487808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419024749 (or 419024734 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 63.

The spelling of 482716487808 in words is "four hundred eighty-two billion, seven hundred sixteen million, four hundred eighty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 419024729 838049458 1257074187 1676098916 2514148374 3352197832 3771222561 5028296748 6704395664 7542445122 10056593496 13408791328 15084890244 20113186992 26817582656 30169780488 40226373984 53635165312 60339560976 80452747968 120679121952 160905495936 241358243904 482716487808