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128758106049480 = 23325357661405693
BaseRepresentation
bin11101010001101011010101…
…001011000100101111001000
3121212220011011210102222121100
4131101223111023010233020
5113334033100122040410
61133502353552341400
736056315620252125
oct3521532513045710
9555804153388540
10128758106049480
113803200816a036
1212536225244860
1356acab6721a5b
1423b1cd5b3574c
15ed44619b08c0
hex751ad52c4bc8

128758106049480 has 48 divisors (see below), whose sum is σ = 418463844661980. Its totient is φ = 34335494946432.

The previous prime is 128758106049457. The next prime is 128758106049581. The reversal of 128758106049480 is 84940601857821.

128758106049480 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 5 + 8 + 1 + 0 + 60 + 494 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 118893770360964 + 9864335688516 = 10903842^2 + 3140754^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178830702487 + ... + 178830703206.

Almost surely, 2128758106049480 is an apocalyptic number.

128758106049480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128758106049480 is an abundant number, since it is smaller than the sum of its proper divisors (289705738612500).

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

128758106049480 is a wasteful number, since it uses less digits than its factorization.

128758106049480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357661405710 (or 357661405703 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 128758106049480 in words is "one hundred twenty-eight trillion, seven hundred fifty-eight billion, one hundred six million, forty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 357661405693 715322811386 1072984217079 1430645622772 1788307028465 2145968434158 2861291245544 3218952651237 3576614056930 4291936868316 5364921085395 6437905302474 7153228113860 8583873736632 10729842170790 12875810604948 14306456227720 16094763256185 21459684341580 25751621209896 32189526512370 42919368683160 64379053024740 128758106049480