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12435644444641 = 111513577469183
BaseRepresentation
bin1011010011110110011000…
…1010110110111111100001
31122000211120102221212120121
42310331212022312333201
53112221144434212031
642240504534240241
72422305601465135
oct264754612667741
948024512855517
1012435644444641
113a64a22102010
12148a1401b6081
136c28a390c092
1430dc61ac33c5
1516872dc46011
hexb4f662b6fe1

12435644444641 has 8 divisors (see below), whose sum is σ = 13566249022464. Its totient is φ = 11305055107920.

The previous prime is 12435644444627. The next prime is 12435644444653. The reversal of 12435644444641 is 14644444653421.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12435644444641 - 241 = 10236621189089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12435644444941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2069665 + ... + 5399518.

It is an arithmetic number, because the mean of its divisors is an integer number (1695781127808).

Almost surely, 212435644444641 is an apocalyptic number.

12435644444641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12435644444641 is a deficient number, since it is larger than the sum of its proper divisors (1130604577823).

12435644444641 is a wasteful number, since it uses less digits than its factorization.

12435644444641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7620551.

The product of its digits is 17694720, while the sum is 52.

The spelling of 12435644444641 in words is "twelve trillion, four hundred thirty-five billion, six hundred forty-four million, four hundred forty-four thousand, six hundred forty-one".

Divisors: 1 11 151357 1664927 7469183 82161013 1130513131331 12435644444641