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81697988612241 = 344788121065081
BaseRepresentation
bin10010100100110111001011…
…100101110001000010010001
3101201021020210021222202120000
4102210313023211301002101
541202014440041042431
6445431312101240213
723131325214151551
oct2244671345610221
9351236707882500
1081697988612241
1124038a167892a1
1291b574b103069
133678119964201
1416262bd121161
1596a2438959e6
hex4a4dcb971091

81697988612241 has 20 divisors (see below), whose sum is σ = 122045229015204. Its totient is φ = 54464185641600.

The previous prime is 81697988612239. The next prime is 81697988612243. The reversal of 81697988612241 is 14221688979618.

It is an interprime number because it is at equal distance from previous prime (81697988612239) and next prime (81697988612243).

It can be written as a sum of positive squares in 2 ways, for example, as 35568150921216 + 46129837691025 = 5963904^2 + 6791895^2 .

It is not a de Polignac number, because 81697988612241 - 21 = 81697988612239 is a prime.

It is a super-2 number, since 2×816979886122412 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 81697988612241.

It is not an unprimeable number, because it can be changed into a prime (81697988612243) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6654180 + ... + 14410901.

Almost surely, 281697988612241 is an apocalyptic number.

81697988612241 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

81697988612241 is a deficient number, since it is larger than the sum of its proper divisors (40347240402963).

81697988612241 is a wasteful number, since it uses less digits than its factorization.

81697988612241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21112974 (or 21112965 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 72.

The spelling of 81697988612241 in words is "eighty-one trillion, six hundred ninety-seven billion, nine hundred eighty-eight million, six hundred twelve thousand, two hundred forty-one".

Divisors: 1 3 9 27 81 47881 143643 430929 1292787 3878361 21065081 63195243 189585729 568757187 1706271561 1008617143361 3025851430083 9077554290249 27232662870747 81697988612241