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13554450144 = 253315688021
BaseRepresentation
bin11001001111110100…
…00111111011100000
31021222122002102002000
430213322013323200
5210224414401034
610120554524000
7656614632234
oct144772077340
937878072060
1013554450144
115826152014
122763436600
13138020c901
149282565c4
15544e73599
hex327e87ee0

13554450144 has 48 divisors (see below), whose sum is σ = 39533815440. Its totient is φ = 4518149760.

The previous prime is 13554450131. The next prime is 13554450163. The reversal of 13554450144 is 44105445531.

13554450144 is a `hidden beast` number, since 13 + 5 + 54 + 450 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13554450099 and 13554450108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7843147 + ... + 7844874.

It is an arithmetic number, because the mean of its divisors is an integer number (823621155).

Almost surely, 213554450144 is an apocalyptic number.

It is an amenable number.

13554450144 is an abundant number, since it is smaller than the sum of its proper divisors (25979365296).

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

13554450144 is a wasteful number, since it uses less digits than its factorization.

13554450144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15688040 (or 15688026 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 13554450144 its reverse (44105445531), we get a palindrome (57659895675).

The spelling of 13554450144 in words is "thirteen billion, five hundred fifty-four million, four hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 15688021 31376042 47064063 62752084 94128126 125504168 141192189 188256252 251008336 282384378 376512504 423576567 502016672 564768756 753025008 847153134 1129537512 1506050016 1694306268 2259075024 3388612536 4518150048 6777225072 13554450144