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128012887296 = 283472192349
BaseRepresentation
bin111011100111000101…
…0011010010100000000
3110020102102211110110000
41313032022122110000
54044132244343141
6134450332240000
712151164405600
oct1671612322400
9406372743400
10128012887296
114a320a34a28
1220987310000
13c0c12c02b8
1462a5606c00
1534e36995b6
hex1dce29a500

128012887296 has 810 divisors, whose sum is σ = 469974339450. Its totient is φ = 34550820864.

The previous prime is 128012887283. The next prime is 128012887319. The reversal of 128012887296 is 692788210821.

It can be written as a sum of positive squares in only one way, i.e., 118842909696 + 9169977600 = 344736^2 + 95760^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 366798930 + ... + 366799278.

Almost surely, 2128012887296 is an apocalyptic number.

128012887296 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 128012887296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234987169725).

128012887296 is an abundant number, since it is smaller than the sum of its proper divisors (341961452154).

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

128012887296 is an equidigital number, since it uses as much as digits as its factorization.

128012887296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 128012887296 in words is "one hundred twenty-eight billion, twelve million, eight hundred eighty-seven thousand, two hundred ninety-six".