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128345116932 = 223210135298437
BaseRepresentation
bin111011110000111110…
…1110001000100000100
3110021021120222110211100
41313201331301010010
54100322322220212
6134543321140100
712162340331244
oct1674175610404
9407246873740
10128345116932
114a481521a7a
1220a5a62a630
13c145093b96
1462d77a9b24
153512922bdc
hex1de1f71104

128345116932 has 36 divisors (see below), whose sum is σ = 327640101516. Its totient is φ = 42358123200.

The previous prime is 128345116931. The next prime is 128345116979. The reversal of 128345116932 is 239611543821.

128345116932 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 451 + 169 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82216386756 + 46128730176 = 286734^2 + 214776^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (128345116931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17645583 + ... + 17652854.

It is an arithmetic number, because the mean of its divisors is an integer number (9101113931).

Almost surely, 2128345116932 is an apocalyptic number.

128345116932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

128345116932 is an abundant number, since it is smaller than the sum of its proper divisors (199294984584).

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

128345116932 is a wasteful number, since it uses less digits than its factorization.

128345116932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35298548 (or 35298543 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 128345116932 in words is "one hundred twenty-eight billion, three hundred forty-five million, one hundred sixteen thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 35298437 70596874 105895311 141193748 211790622 317685933 423581244 635371866 1270743732 3565142137 7130284274 10695426411 14260568548 21390852822 32086279233 42781705644 64172558466 128345116932