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15147440640 = 29345174297
BaseRepresentation
bin11100001101101101…
…11001101000000000
31110002122120201020000
432012312321220000
5222010221100030
610543022120000
71044240056343
oct160666715000
943078521200
1015147440640
116473376392
122b28a20000
131575260037
14a39a4445a
155d9c3a860
hex386db9a00

15147440640 has 400 divisors, whose sum is σ = 57458088072. Its totient is φ = 3800825856.

The previous prime is 15147440621. The next prime is 15147440647. The reversal of 15147440640 is 4604474151.

It is a happy number.

15147440640 is a `hidden beast` number, since 1 + 5 + 1 + 4 + 7 + 4 + 4 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13841051904 + 1306388736 = 117648^2 + 36144^2 .

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 = 15147440595 and 15147440604.

It is not an unprimeable number, because it can be changed into a prime (15147440647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3522972 + ... + 3527268.

Almost surely, 215147440640 is an apocalyptic number.

15147440640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15147440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28729044036).

15147440640 is an abundant number, since it is smaller than the sum of its proper divisors (42310647432).

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

15147440640 is an equidigital number, since it uses as much as digits as its factorization.

15147440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4349 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 15147440640 in words is "fifteen billion, one hundred forty-seven million, four hundred forty thousand, six hundred forty".