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13873842024 = 233782582393
BaseRepresentation
bin11001110101111001…
…00000011101101000
31022210220002012100220
430322330200131220
5211403200421044
610212404330040
71000543466010
oct147274403550
938726065326
1013873842024
11597a470949
1228323a3920
13140143a0a3
14958836c40
15563013019
hex33af20768

13873842024 has 32 divisors (see below), whose sum is σ = 39639549120. Its totient is φ = 3963954816.

The previous prime is 13873841999. The next prime is 13873842053. The reversal of 13873842024 is 42024837831.

It is a happy number.

13873842024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 41291029 + ... + 41291364.

It is an arithmetic number, because the mean of its divisors is an integer number (1238735910).

Almost surely, 213873842024 is an apocalyptic number.

13873842024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13873842024 is an abundant number, since it is smaller than the sum of its proper divisors (25765707096).

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

13873842024 is a wasteful number, since it uses less digits than its factorization.

13873842024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82582409 (or 82582405 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 13873842024 in words is "thirteen billion, eight hundred seventy-three million, eight hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 82582393 165164786 247747179 330329572 495494358 578076751 660659144 990988716 1156153502 1734230253 1981977432 2312307004 3468460506 4624614008 6936921012 13873842024