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412476361601 = 37433202912689
BaseRepresentation
bin1100000000010011000…
…00011100101110000001
31110102200012001012121112
412000021200130232001
523224222422032401
6513253343533105
741541356140043
oct6001140345601
91412605035545
10412476361601
11149a26175547
1267b355ba195
132cb8639c725
1415d6d181a93
15aae1db33bb
hex600981cb81

412476361601 has 16 divisors (see below), whose sum is σ = 424845464400. Its totient is φ = 400172617728.

The previous prime is 412476361597. The next prime is 412476361631. The reversal of 412476361601 is 106163674214.

It can be written as a sum of positive squares in 8 ways, for example, as 7089471601 + 405386890000 = 84199^2 + 636700^2 .

It is a cyclic number.

It is not a de Polignac number, because 412476361601 - 22 = 412476361597 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (412476361631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32500265 + ... + 32512953.

It is an arithmetic number, because the mean of its divisors is an integer number (26552841525).

Almost surely, 2412476361601 is an apocalyptic number.

It is an amenable number.

412476361601 is a deficient number, since it is larger than the sum of its proper divisors (12369102799).

412476361601 is a wasteful number, since it uses less digits than its factorization.

412476361601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15188.

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 412476361601 in words is "four hundred twelve billion, four hundred seventy-six million, three hundred sixty-one thousand, six hundred one".

Divisors: 1 37 433 2029 12689 16021 75073 469493 878557 5494337 25745981 32506609 203290469 952601297 11148009773 412476361601