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1328897664 = 2734128173
BaseRepresentation
bin100111100110101…
…0101111010000000
310102121112222220000
41033031111322000
510210144211124
6335510520000
744634305133
oct11715257200
93377488800
101328897664
11622145536
12311066000
131824152a3
14c86c421a
157b9ec6c9
hex4f355e80

1328897664 has 80 divisors (see below), whose sum is σ = 3954808770. Its totient is φ = 442962432.

The previous prime is 1328897641. The next prime is 1328897681. The reversal of 1328897664 is 4667988231.

It can be written as a sum of positive squares in only one way, i.e., 675584064 + 653313600 = 25992^2 + 25560^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1328897664.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 53719 + ... + 74454.

Almost surely, 21328897664 is an apocalyptic number.

It is an amenable number.

1328897664 is an abundant number, since it is smaller than the sum of its proper divisors (2625911106).

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

1328897664 is an equidigital number, since it uses as much as digits as its factorization.

1328897664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128199 (or 128178 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 1328897664 is about 36454.0486640373. The cubic root of 1328897664 is about 1099.4205388806.

The spelling of 1328897664 in words is "one billion, three hundred twenty-eight million, eight hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 128173 256346 384519 512692 769038 1025384 1153557 1538076 2050768 2307114 3076152 3460671 4101536 4614228 6152304 6921342 8203072 9228456 10382013 12304608 13842684 16406144 18456912 20764026 24609216 27685368 36913824 41528052 49218432 55370736 73827648 83056104 110741472 147655296 166112208 221482944 332224416 442965888 664448832 1328897664