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12354643645641 = 341113866042251
BaseRepresentation
bin1011001111001000101000…
…1001010101010011001001
31121202002111100122221110000
42303302022021111103021
53104404302233130031
642135351150113213
72413410405164163
oct263621211252311
947662440587400
1012354643645641
113a33636286920
1214764b51ab809
136b806534a50b
14309d7a06d933
1516658c9893e6
hexb3c8a2554c9

12354643645641 has 20 divisors (see below), whose sum is σ = 20133493349904. Its totient is φ = 7487662815000.

The previous prime is 12354643645613. The next prime is 12354643645661. The reversal of 12354643645641 is 14654634645321.

12354643645641 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 46 + 4 + 36 + 4 + 564 + 1 = 666.

It is not a de Polignac number, because 12354643645641 - 25 = 12354643645609 is a prime.

It is a super-2 number, since 2×123546436456412 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12354643645661) 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, 6933020235 + ... + 6933022016.

Almost surely, 212354643645641 is an apocalyptic number.

12354643645641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12354643645641 is a deficient number, since it is larger than the sum of its proper divisors (7778849704263).

12354643645641 is a wasteful number, since it uses less digits than its factorization.

12354643645641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13866042274 (or 13866042265 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 54.

The spelling of 12354643645641 in words is "twelve trillion, three hundred fifty-four billion, six hundred forty-three million, six hundred forty-five thousand, six hundred forty-one".

Divisors: 1 3 9 11 27 33 81 99 297 891 13866042251 41598126753 124794380259 152526464761 374383140777 457579394283 1123149422331 1372738182849 4118214548547 12354643645641