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412316860417 = 71129593129611
BaseRepresentation
bin1100000000000000000…
…00000000000000000001
31110102021001220201010021
412000000000000000001
523223411104013132
6513225445133441
741534411326030
oct6000000000001
91412231821107
10412316860417
11149954133990
1267ab00ba281
132cb5c325027
1415d55d02717
15aad2da8997
hex6000000001

412316860417 has 32 divisors (see below), whose sum is σ = 540796953600. Its totient is φ = 304949198400.

The previous prime is 412316860387. The next prime is 412316860441. The reversal of 412316860417 is 714068613214.

It is not a de Polignac number, because 412316860417 - 27 = 412316860289 is a prime.

It is a super-2 number, since 2×4123168604172 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (412316860117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1433059 + ... + 1696552.

It is an arithmetic number, because the mean of its divisors is an integer number (16899904800).

It is a Proth number, since it is equal to 3 ⋅ 237 + 1 and 3 < 237.

Almost surely, 2412316860417 is an apocalyptic number.

It is an amenable number.

412316860417 is a deficient number, since it is larger than the sum of its proper divisors (128480093183).

412316860417 is a wasteful number, since it uses less digits than its factorization.

412316860417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129717.

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 412316860417 in words is "four hundred twelve billion, three hundred sixteen million, eight hundred sixty thousand, four hundred seventeen".

Divisors: 1 7 11 29 59 77 203 319 413 649 1711 2233 4543 11977 18821 131747 3129611 21907277 34425721 90758719 184647049 240980047 635311033 998345909 1292529343 2031117539 5354764421 6988421363 14217822773 37483350947 58902408631 412316860417