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15328431616 = 29173156809
BaseRepresentation
bin11100100011010010…
…10100111000000000
31110120021011000011111
432101221110320000
5222343034302431
611013005253104
71051565343001
oct162151247000
943507130144
1015328431616
116556555603
122b79564194
1315a38bcca4
14a55ab91a8
155eaa8c7b1
hex391a54e00

15328431616 has 80 divisors (see below), whose sum is σ = 33475178880. Its totient is φ = 6980567040.

The previous prime is 15328431551. The next prime is 15328431637. The reversal of 15328431616 is 61613482351.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241420 + ... + 298228.

It is an arithmetic number, because the mean of its divisors is an integer number (418439736).

Almost surely, 215328431616 is an apocalyptic number.

15328431616 is a gapful number since it is divisible by the number (16) 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 15328431616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16737589440).

15328431616 is an abundant number, since it is smaller than the sum of its proper divisors (18146747264).

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

15328431616 is an equidigital number, since it uses as much as digits as its factorization.

15328431616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56875 (or 56859 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

It can be divided in two parts, 153284 and 31616, that added together give a square (184900 = 4302).

The spelling of 15328431616 in words is "fifteen billion, three hundred twenty-eight million, four hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 256 272 496 512 527 544 992 1054 1088 1984 2108 2176 3968 4216 4352 7936 8432 8704 15872 16864 33728 56809 67456 113618 134912 227236 269824 454472 908944 965753 1761079 1817888 1931506 3522158 3635776 3863012 7044316 7271552 7726024 14088632 14543104 15452048 28177264 29086208 29938343 30904096 56354528 59876686 61808192 112709056 119753372 123616384 225418112 239506744 247232768 450836224 479013488 494465536 901672448 958026976 1916053952 3832107904 7664215808 15328431616