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13644456660 = 2232575802537
BaseRepresentation
bin11001011010100010…
…11110001011010100
31022012220110012210200
430231101132023110
5210420440103120
610133532020500
7662056653012
oct145521361324
938186405720
1013644456660
115871a3826a
122789601730
131395a647c3
149361a58b2
1554cd01e90
hex32d45e2d4

13644456660 has 36 divisors (see below), whose sum is σ = 41388185748. Its totient is φ = 3638521728.

The previous prime is 13644456641. The next prime is 13644456667. The reversal of 13644456660 is 6665444631.

13644456660 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 6194004804 + 7450451856 = 78702^2 + 86316^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13644456667) 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 11 ways as a sum of consecutive naturals, for example, 37901089 + ... + 37901448.

Almost surely, 213644456660 is an apocalyptic number.

13644456660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13644456660 is an abundant number, since it is smaller than the sum of its proper divisors (27743729088).

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

13644456660 is a wasteful number, since it uses less digits than its factorization.

13644456660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75802552 (or 75802547 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 13644456660 in words is "thirteen billion, six hundred forty-four million, four hundred fifty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 75802537 151605074 227407611 303210148 379012685 454815222 682222833 758025370 909630444 1137038055 1364445666 1516050740 2274076110 2728891332 3411114165 4548152220 6822228330 13644456660