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128513843136 = 263574725117
BaseRepresentation
bin111011110110000000…
…1011001111111000000
3110021201100110122200000
41313230001121333000
54101144020440021
6135012145400000
712166456433340
oct1675401317700
9407640418600
10128513843136
114a558794518
1220aa7039000
13c17101b483
146311d6ad20
153522650b26
hex1dec059fc0

128513843136 has 336 divisors, whose sum is σ = 445883483136. Its totient is φ = 35935570944.

The previous prime is 128513843123. The next prime is 128513843137. The reversal of 128513843136 is 631348315821.

It is a happy number.

128513843136 is a `hidden beast` number, since 1 + 2 + 85 + 138 + 431 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 128513843091 and 128513843100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128513843137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5104050 + ... + 5129166.

It is an arithmetic number, because the mean of its divisors is an integer number (1327034176).

Almost surely, 2128513843136 is an apocalyptic number.

128513843136 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 128513843136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222941741568).

128513843136 is an abundant number, since it is smaller than the sum of its proper divisors (317369640000).

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

128513843136 is an equidigital number, since it uses as much as digits as its factorization.

128513843136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25198 (or 25176 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 128513843136 in words is "one hundred twenty-eight billion, five hundred thirteen million, eight hundred forty-three thousand, one hundred thirty-six".