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13853845512 = 23321314801117
BaseRepresentation
bin11001110011100000…
…01110100000001000
31022202111110021022100
430321300032200020
5211333041024022
610210411553400
71000211513103
oct147160164010
938674407270
1013853845512
11596a153201
12282775b860
1313ca258430
14955d0d73a
155613b31ac
hex339c0e808

13853845512 has 48 divisors (see below), whose sum is σ = 40407052140. Its totient is φ = 4262721408.

The previous prime is 13853845493. The next prime is 13853845517. The reversal of 13853845512 is 21554835831.

13853845512 is a `hidden beast` number, since 1 + 3 + 8 + 53 + 84 + 5 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13715688996 + 138156516 = 117114^2 + 11754^2 .

It is not an unprimeable number, because it can be changed into a prime (13853845517) 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, 7399623 + ... + 7401494.

Almost surely, 213853845512 is an apocalyptic number.

13853845512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13853845512 is an abundant number, since it is smaller than the sum of its proper divisors (26553206628).

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

13853845512 is a wasteful number, since it uses less digits than its factorization.

13853845512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14801142 (or 14801135 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The spelling of 13853845512 in words is "thirteen billion, eight hundred fifty-three million, eight hundred forty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 14801117 29602234 44403351 59204468 88806702 118408936 133210053 177613404 192414521 266420106 355226808 384829042 532840212 577243563 769658084 1065680424 1154487126 1539316168 1731730689 2308974252 3463461378 4617948504 6926922756 13853845512