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15728730144 = 253163840939
BaseRepresentation
bin11101010011000000…
…10110000000100000
31111121011101021111220
432221200112000200
5224203023331034
611120425135040
71064526000051
oct165140260040
944534337456
1015728730144
116741504836
12306b62a480
13163880741a
14a92d1a728
15620cae749
hex3a9816020

15728730144 has 24 divisors (see below), whose sum is σ = 41287916880. Its totient is φ = 5242910016.

The previous prime is 15728730131. The next prime is 15728730167. The reversal of 15728730144 is 44103782751.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 15728730096 and 15728730105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81920374 + ... + 81920565.

It is an arithmetic number, because the mean of its divisors is an integer number (1720329870).

Almost surely, 215728730144 is an apocalyptic number.

It is an amenable number.

15728730144 is an abundant number, since it is smaller than the sum of its proper divisors (25559186736).

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

15728730144 is a wasteful number, since it uses less digits than its factorization.

15728730144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163840952 (or 163840944 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 15728730144 in words is "fifteen billion, seven hundred twenty-eight million, seven hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163840939 327681878 491522817 655363756 983045634 1310727512 1966091268 2621455024 3932182536 5242910048 7864365072 15728730144