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128786382540 = 22345198394987
BaseRepresentation
bin111011111110001000…
…1000011111011001100
3110022102100022002110000
41313330101003323030
54102223303220130
6135055203044300
712206306122014
oct1677421037314
9408370262400
10128786382540
114a6886123a2
1220b62370690
13c1b56230aa
14633a232c44
15353b538260
hex1dfc443ecc

128786382540 has 240 divisors, whose sum is σ = 425863468800. Its totient is φ = 32490211968.

The previous prime is 128786382539. The next prime is 128786382619. The reversal of 128786382540 is 45283687821.

128786382540 is a `hidden beast` number, since 1 + 28 + 78 + 6 + 3 + 8 + 2 + 540 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25821927 + ... + 25826913.

It is an arithmetic number, because the mean of its divisors is an integer number (1774431120).

Almost surely, 2128786382540 is an apocalyptic number.

128786382540 is a gapful number since it is divisible by the number (10) 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 128786382540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212931734400).

128786382540 is an abundant number, since it is smaller than the sum of its proper divisors (297077086260).

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

128786382540 is a wasteful number, since it uses less digits than its factorization.

128786382540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5866 (or 5855 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 128786382540 in words is "one hundred twenty-eight billion, seven hundred eighty-six million, three hundred eighty-two thousand, five hundred forty".