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13554503440 = 245169431293
BaseRepresentation
bin11001001111110100…
…10100111100010000
31021222122012010011221
430213322110330100
5210224423102230
610121000014424
7656615243512
oct144772247420
937878163157
1013554503440
115826189065
122763461414
13138022ac4a
1492826bbb2
15544e8427a
hex327e94f10

13554503440 has 20 divisors (see below), whose sum is σ = 31514220684. Its totient is φ = 5421801344.

The previous prime is 13554503419. The next prime is 13554503449. The reversal of 13554503440 is 4430545531.

13554503440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9438511104 + 4115992336 = 97152^2 + 64156^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 13554503396 and 13554503405.

It is not an unprimeable number, because it can be changed into a prime (13554503449) 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 3 ways as a sum of consecutive naturals, for example, 84715567 + ... + 84715726.

Almost surely, 213554503440 is an apocalyptic number.

13554503440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13554503440 is an abundant number, since it is smaller than the sum of its proper divisors (17959717244).

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

13554503440 is a wasteful number, since it uses less digits than its factorization.

13554503440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169431306 (or 169431300 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The spelling of 13554503440 in words is "thirteen billion, five hundred fifty-four million, five hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 169431293 338862586 677725172 847156465 1355450344 1694312930 2710900688 3388625860 6777251720 13554503440