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13824745487 = 7243471371019
BaseRepresentation
bin11001110000000010…
…01110000000001111
31022200110200211120122
430320001032000033
5211303113323422
610203452135155
7666406253300
oct147001160017
938613624518
1013824745487
1159547879a3
122819a674bb
1313c4209c97
149520d67a7
1555da65d42
hex33804e00f

13824745487 has 48 divisors (see below), whose sum is σ = 16945251840. Its totient is φ = 11234224512.

The previous prime is 13824745427. The next prime is 13824745489. The reversal of 13824745487 is 78454742831.

It is a happy number.

It is not a de Polignac number, because 13824745487 - 212 = 13824741391 is a prime.

It is a super-2 number, since 2×138247454872 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13824745489) 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 47 ways as a sum of consecutive naturals, for example, 13566464 + ... + 13567482.

It is an arithmetic number, because the mean of its divisors is an integer number (353026080).

Almost surely, 213824745487 is an apocalyptic number.

13824745487 is a deficient number, since it is larger than the sum of its proper divisors (3120506353).

13824745487 is a wasteful number, since it uses less digits than its factorization.

13824745487 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1253 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 53.

The spelling of 13824745487 in words is "thirteen billion, eight hundred twenty-four million, seven hundred forty-five thousand, four hundred eighty-seven".

Divisors: 1 7 43 47 49 137 301 329 959 1019 2021 2107 2303 5891 6439 6713 7133 14147 41237 43817 45073 47893 49931 99029 139603 276877 288659 306719 315511 335251 977221 1938139 2059399 2147033 2346757 6002929 6561341 6840547 13566973 14415793 42020503 45929387 100910551 282137663 294143521 321505709 1974963641 13824745487