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128568142096 = 2417252732
BaseRepresentation
bin111011110111101000…
…0100010100100010000
3110021212010122022211121
41313233100202210100
54101301421021341
6135021405252024
712201016114342
oct1675720424420
9407763568747
10128568142096
114a586401099
1220b01264014
13c17c350534
146319263292
1535272c94d1
hex1def422910

128568142096 has 45 divisors (see below), whose sum is σ = 264665895151. Its totient is φ = 60491181056.

The previous prime is 128568142039. The next prime is 128568142133. The reversal of 128568142096 is 690241865821.

The square root of 128568142096 is 358564.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10452199696 + 118115942400 = 102236^2 + 343680^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 24379716 + ... + 24384988.

Almost surely, 2128568142096 is an apocalyptic number.

128568142096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

128568142096 is the 358564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128568142096

128568142096 is an abundant number, since it is smaller than the sum of its proper divisors (136097753055).

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

128568142096 is an frugal number, since it uses more digits than its factorization.

128568142096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10588 (or 5292 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 128568142096 in words is "one hundred twenty-eight billion, five hundred sixty-eight million, one hundred forty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 5273 10546 21092 42184 84368 89641 179282 358564 717128 1434256 1523897 3047794 6095588 12191176 24382352 27804529 55609058 111218116 222436232 444872464 472676993 945353986 1890707972 3781415944 7562831888 8035508881 16071017762 32142035524 64284071048 128568142096