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12384927954 = 232798293079
BaseRepresentation
bin10111000100011001…
…10000000011010010
31011222010102112020100
423202030300003102
5200331020143304
65404535553230
7615624102450
oct134214600322
934863375210
1012384927954
115285a72753
12249782b816
131224b29a49
14856bbb9d0
154c7458439
hex2e23300d2

12384927954 has 24 divisors (see below), whose sum is σ = 30667440960. Its totient is φ = 3538550808.

The previous prime is 12384927953. The next prime is 12384927977. The reversal of 12384927954 is 45972948321.

12384927954 is a `hidden beast` number, since 1 + 2 + 38 + 492 + 79 + 54 = 666.

It is a super-2 number, since 2×123849279542 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12384927954.

It is not an unprimeable number, because it can be changed into a prime (12384927953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49146414 + ... + 49146665.

It is an arithmetic number, because the mean of its divisors is an integer number (1277810040).

Almost surely, 212384927954 is an apocalyptic number.

12384927954 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12384927954 is an abundant number, since it is smaller than the sum of its proper divisors (18282513006).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12384927954 is a wasteful number, since it uses less digits than its factorization.

12384927954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98293094 (or 98293091 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 12384927954 in words is "twelve billion, three hundred eighty-four million, nine hundred twenty-seven thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 98293079 196586158 294879237 589758474 688051553 884637711 1376103106 1769275422 2064154659 4128309318 6192463977 12384927954