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60080338382049 = 32317919918317481
BaseRepresentation
bin11011010100100100010110…
…01110100010110011100001
321212201121212002020011212200
431222102023032202303201
530333324013111211144
6331440305412443413
715440442536055546
oct1552221316426341
9255647762204780
1060080338382049
1118163a237a8677
1268a3b7b919569
13276a722b2c36b
1410b9c923d6bcd
156e2c62b12c69
hex36a48b3a2ce1

60080338382049 has 96 divisors (see below), whose sum is σ = 91233951744000. Its totient is φ = 38052656928000.

The previous prime is 60080338381993. The next prime is 60080338382089. The reversal of 60080338382049 is 94028383308006.

It is a happy number.

60080338382049 is a `hidden beast` number, since 600 + 8 + 0 + 3 + 3 + 8 + 3 + 8 + 20 + 4 + 9 = 666.

It is not a de Polignac number, because 60080338382049 - 29 = 60080338381537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 60080338381986 and 60080338382004.

It is not an unprimeable number, because it can be changed into a prime (60080338382089) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8031053389 + ... + 8031060869.

It is an arithmetic number, because the mean of its divisors is an integer number (950353664000).

Almost surely, 260080338382049 is an apocalyptic number.

It is an amenable number.

60080338382049 is a deficient number, since it is larger than the sum of its proper divisors (31153613361951).

60080338382049 is a wasteful number, since it uses less digits than its factorization.

60080338382049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9627 (or 9624 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 60080338382049 in words is "sixty trillion, eighty billion, three hundred thirty-eight million, three hundred eighty-two thousand, forty-nine".

Divisors: 1 3 9 31 79 93 199 237 279 597 711 1791 1831 2449 5493 6169 7347 7481 15721 16479 18507 22041 22443 47163 55521 56761 67329 141489 144649 170283 231911 364369 433947 487351 510849 590999 695733 1093107 1301841 1462053 1488719 1772997 2087199 3279321 4386159 4466157 4484119 5318991 11295439 13398471 13452357 13697711 18320969 28785151 33886317 40357071 41093133 46150289 54962907 86355453 101658951 117608801 123279399 138450867 164888721 259066359 352826403 415352601 424629041 892339681 1058479209 1082119169 1273887123 2677019043 2725844489 3246357507 3645872831 3821661369 8031057129 8177533467 9739072521 10937618493 24532600401 32812855479 33545694239 84501179159 100637082717 215341714631 253503537477 301911248151 646025143893 760510612431 1938075431679 6675593153561 20026779460683 60080338382049