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14782348572 = 22317113641261
BaseRepresentation
bin11011100010001100…
…01011110100011100
31102011012121010001120
431301012023310130
5220233240123242
610442501010540
71032214614105
oct156106136434
942135533046
1014782348572
1162a6283302
122a466b3a50
131517721624
14a033693ac
155b7b701ec
hex37118bd1c

14782348572 has 48 divisors (see below), whose sum is σ = 36844349472. Its totient is φ = 4596551680.

The previous prime is 14782348571. The next prime is 14782348573. The reversal of 14782348572 is 27584328741.

It is a happy number.

14782348572 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14782348571) and next prime (14782348573).

It is a super-2 number, since 2×147823485722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14782348571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297579 + ... + 343682.

It is an arithmetic number, because the mean of its divisors is an integer number (767590614).

Almost surely, 214782348572 is an apocalyptic number.

14782348572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14782348572 is an abundant number, since it is smaller than the sum of its proper divisors (22062000900).

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

14782348572 is a wasteful number, since it uses less digits than its factorization.

14782348572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641398 (or 641396 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 51.

The spelling of 14782348572 in words is "fourteen billion, seven hundred eighty-two million, three hundred forty-eight thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 113 204 226 339 452 678 1356 1921 3842 5763 7684 11526 23052 641261 1282522 1923783 2565044 3847566 7695132 10901437 21802874 32704311 43605748 65408622 72462493 130817244 144924986 217387479 289849972 434774958 869549916 1231862381 2463724762 3695587143 4927449524 7391174286 14782348572