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128411490816 = 2932719320627
BaseRepresentation
bin111011110010111101…
…0111101101000000000
3110021110012212121200100
41313211322331220000
54100441320201231
6134554051522400
712164104443150
oct1674572755000
9407405777610
10128411490816
114a505a36724
1220a788b9400
13c155a6307b
146302526760
1535186841e6
hex1de5ebda00

128411490816 has 240 divisors, whose sum is σ = 425762910144. Its totient is φ = 36497129472.

The previous prime is 128411490793. The next prime is 128411490817. The reversal of 128411490816 is 618094114821.

128411490816 is a `hidden beast` number, since 1 + 2 + 84 + 1 + 1 + 490 + 81 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (128411490817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6215095 + ... + 6235721.

Almost surely, 2128411490816 is an apocalyptic number.

128411490816 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 128411490816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212881455072).

128411490816 is an abundant number, since it is smaller than the sum of its proper divisors (297351419328).

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

128411490816 is a wasteful number, since it uses less digits than its factorization.

128411490816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20851 (or 20832 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

It can be divided in two parts, 1284 and 11490816, that added together give a square (11492100 = 33902).

The spelling of 128411490816 in words is "one hundred twenty-eight billion, four hundred eleven million, four hundred ninety thousand, eight hundred sixteen".