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12084892547013 = 32111389105505291
BaseRepresentation
bin1010111111011011101110…
…1110100011011111000101
31120210022012221101022120100
42233312323232203133011
53040444324443001023
641411420055554313
72355050621525406
oct257667356433705
946708187338510
1012084892547013
11393a1a0876970
12143217208b999
136987a6330320
142dacaa4479ad
1515e550bbcc43
hexafdbbba37c5

12084892547013 has 48 divisors (see below), whose sum is σ = 20738120195520. Its totient is φ = 6684815174400.

The previous prime is 12084892546967. The next prime is 12084892547023. The reversal of 12084892547013 is 31074529848021.

12084892547013 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 4 + 8 + 92 + 547 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 12084892547013 - 228 = 12084624111557 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12084892547023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52638103 + ... + 52867188.

It is an arithmetic number, because the mean of its divisors is an integer number (432044170740).

Almost surely, 212084892547013 is an apocalyptic number.

12084892547013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12084892547013 is a deficient number, since it is larger than the sum of its proper divisors (8653227648507).

12084892547013 is a wasteful number, since it uses less digits than its factorization.

12084892547013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105505410 (or 105505407 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 12084892547013 in words is "twelve trillion, eighty-four billion, eight hundred ninety-two million, five hundred forty-seven thousand, thirteen".

Divisors: 1 3 9 11 13 33 39 89 99 117 143 267 429 801 979 1157 1287 2937 3471 8811 10413 12727 38181 114543 105505291 316515873 949547619 1160558201 1371568783 3481674603 4114706349 9389970899 10445023809 12344119047 15087256613 28169912697 45261769839 84509738091 103289679889 122069621687 135785309517 309869039667 366208865061 929607119001 1098626595183 1342765838557 4028297515671 12084892547013