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128309922048 = 28371119114197
BaseRepresentation
bin111011101111111011…
…1100000100100000000
3110021012010202101112010
41313133313200210000
54100234320001143
6134540022532520
712161432225250
oct1673767404400
9407163671463
10128309922048
114a4636735a0
1220a4a897140
13c13a9c04c9
1462d2c47960
15350e7bea33
hex1ddfde0900

128309922048 has 288 divisors, whose sum is σ = 448167767040. Its totient is φ = 31572910080.

The previous prime is 128309922023. The next prime is 128309922073. The reversal of 128309922048 is 840229903821.

It is an interprime number because it is at equal distance from previous prime (128309922023) and next prime (128309922073).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 128309921988 and 128309922006.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1066486 + ... + 1180682.

It is an arithmetic number, because the mean of its divisors is an integer number (1556138080).

Almost surely, 2128309922048 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 128309922048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224083883520).

128309922048 is an abundant number, since it is smaller than the sum of its proper divisors (319857844992).

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

128309922048 is a wasteful number, since it uses less digits than its factorization.

128309922048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114253 (or 114239 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 128309922048 in words is "one hundred twenty-eight billion, three hundred nine million, nine hundred twenty-two thousand, forty-eight".