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412663520493 = 327791271813607
BaseRepresentation
bin1100000000101001010…
…10011001110011101101
31110110011020012212100100
412000110222121303231
523230113330123433
6513324111221313
741546121022560
oct6002452316355
91413136185310
10412663520493
1114a011887814
1267b88217839
132cbb60abc33
1415d89d804d7
15ab03532b13
hex6014a99ced

412663520493 has 96 divisors (see below), whose sum is σ = 699312373760. Its totient is φ = 229649696640.

The previous prime is 412663520491. The next prime is 412663520509. The reversal of 412663520493 is 394025366214.

412663520493 is a `hidden beast` number, since 4 + 1 + 2 + 6 + 635 + 2 + 0 + 4 + 9 + 3 = 666.

It is not a de Polignac number, because 412663520493 - 21 = 412663520491 is a prime.

It is a super-2 number, since 2×4126635204932 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412663520491) 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, 114404496 + ... + 114408102.

Almost surely, 2412663520493 is an apocalyptic number.

It is an amenable number.

412663520493 is a deficient number, since it is larger than the sum of its proper divisors (286648853267).

412663520493 is a wasteful number, since it uses less digits than its factorization.

412663520493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4007 (or 4004 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

It can be divided in two parts, 412663 and 520493, that added together give a square (933156 = 9662).

The spelling of 412663520493 in words is "four hundred twelve billion, six hundred sixty-three million, five hundred twenty thousand, four hundred ninety-three".

Divisors: 1 3 7 9 21 63 79 127 181 237 381 543 553 711 889 1143 1267 1629 1659 2667 3607 3801 4977 8001 10033 10821 11403 14299 22987 25249 30099 32463 42897 68961 70231 75747 90297 100093 128691 160909 206883 210693 227241 284953 300279 458089 482727 632079 652867 854859 900837 1374267 1448181 1815973 1958601 1994671 2564577 3206623 4122801 4570069 5447919 5875803 5984013 9619869 12711811 13710207 16343757 17952039 28859607 36189031 38135433 41130621 51576493 82914109 108567093 114406299 154729479 248742327 253323217 325701279 361035451 464188437 580398763 746226981 759969651 1083106353 1741196289 2279908953 3249319059 5223588867 6550214611 19650643833 45851502277 58951931499 137554506831 412663520493