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128426774952 = 233723311576829
BaseRepresentation
bin111011110011011010…
…1010001000110101000
3110021111021122010120110
41313212311101012220
54101004223244302
6134555355254320
712164351401260
oct1674665210650
9407437563513
10128426774952
114a513625943
1220a81a4a3a0
13c158c84b38
1463045847a0
153519ba2b6c
hex1de6d511a8

128426774952 has 256 divisors, whose sum is σ = 397814169600. Its totient is φ = 33744522240.

The previous prime is 128426774947. The next prime is 128426774963. The reversal of 128426774952 is 259477624821.

Its product of digits (13547520) is a multiple of the sum of its prime factors (7056).

It is a junction number, because it is equal to n+sod(n) for n = 128426774892 and 128426774901.

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 63 ways as a sum of consecutive naturals, for example, 18802674 + ... + 18809502.

It is an arithmetic number, because the mean of its divisors is an integer number (1553961600).

Almost surely, 2128426774952 is an apocalyptic number.

128426774952 is a gapful number since it is divisible by the number (12) 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 128426774952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198907084800).

128426774952 is an abundant number, since it is smaller than the sum of its proper divisors (269387394648).

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

128426774952 is a wasteful number, since it uses less digits than its factorization.

128426774952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7056 (or 7052 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 57.

The spelling of 128426774952 in words is "one hundred twenty-eight billion, four hundred twenty-six million, seven hundred seventy-four thousand, nine hundred fifty-two".