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128069265996 = 2233719103107809
BaseRepresentation
bin111011101000110000…
…1011110101001001100
3110020120100220210111000
41313101201132221030
54044241213002441
6134500104500300
712152450541150
oct1672141365114
9406510823430
10128069265996
114a34a8420a1
12209a217a690
13c0ccb9cb89
1462accc1060
1534e85d42b6
hex1dd185ea4c

128069265996 has 384 divisors, whose sum is σ = 407586816000. Its totient is φ = 33965941248.

The previous prime is 128069265979. The next prime is 128069265997. The reversal of 128069265996 is 699562960821.

128069265996 is a `hidden beast` number, since 1 + 280 + 6 + 9 + 265 + 9 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (128069265997) 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 127 ways as a sum of consecutive naturals, for example, 158305240 + ... + 158306048.

It is an arithmetic number, because the mean of its divisors is an integer number (1061424000).

Almost surely, 2128069265996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128069265996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203793408000).

128069265996 is an abundant number, since it is smaller than the sum of its proper divisors (279517550004).

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

128069265996 is a wasteful number, since it uses less digits than its factorization.

128069265996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 128069265996 in words is "one hundred twenty-eight billion, sixty-nine million, two hundred sixty-five thousand, nine hundred ninety-six".