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2143506609 = 322941383523
BaseRepresentation
bin111111111000011…
…0101000010110001
312112101101102021200
41333300311002301
513342214202414
6552410441413
7104055335256
oct17760650261
95471342250
102143506609
119aaa54272
124b9a33269
1328211180a
1416497342d
15c82ad109
hex7fc350b1

2143506609 has 48 divisors (see below), whose sum is σ = 3295918080. Its totient is φ = 1339994880.

The previous prime is 2143506593. The next prime is 2143506619. The reversal of 2143506609 is 9066053412.

It is a happy number.

2143506609 is a `hidden beast` number, since 2 + 1 + 43 + 5 + 0 + 6 + 609 = 666.

It is not a de Polignac number, because 2143506609 - 24 = 2143506593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2143506619) 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 47 ways as a sum of consecutive naturals, for example, 4098222 + ... + 4098744.

It is an arithmetic number, because the mean of its divisors is an integer number (68664960).

Almost surely, 22143506609 is an apocalyptic number.

2143506609 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2143506609 is a deficient number, since it is larger than the sum of its proper divisors (1152411471).

2143506609 is a wasteful number, since it uses less digits than its factorization.

2143506609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2143506609 is about 46298.0194932785. The cubic root of 2143506609 is about 1289.3622248481.

The spelling of 2143506609 in words is "two billion, one hundred forty-three million, five hundred six thousand, six hundred nine".

Divisors: 1 3 9 29 41 87 123 261 369 383 523 1149 1189 1569 3447 3567 4707 10701 11107 15167 15703 21443 33321 45501 47109 64329 99963 136503 141327 192987 200309 455387 600927 621847 1366161 1802781 1865541 4098483 5596623 5808961 8212669 17426883 24638007 52280649 73914021 238167401 714502203 2143506609