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128426954544 = 243374123817
BaseRepresentation
bin111011110011011010…
…1111100111100110000
3110021111021222020221000
41313212311330330300
54101004300021134
6134555403202000
712164353050000
oct1674665747460
9407437866830
10128426954544
114a513738869
1220a81b16300
13c1590187c5
1463045d0000
153519bdae99
hex1de6d7cf30

128426954544 has 200 divisors, whose sum is σ = 430049630320. Its totient is φ = 36693119232.

The previous prime is 128426954503. The next prime is 128426954599. The reversal of 128426954544 is 445459624821.

128426954544 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 2 + 6 + 95 + 4 + 544 = 666.

128426954544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1284269545443 (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 975324 + ... + 1099140.

Almost surely, 2128426954544 is an apocalyptic number.

128426954544 is a gapful number since it is divisible by the number (14) 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 128426954544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215024815160).

128426954544 is an abundant number, since it is smaller than the sum of its proper divisors (301622675776).

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

128426954544 is an equidigital number, since it uses as much as digits as its factorization.

128426954544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123862 (or 123829 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 128426954544 in words is "one hundred twenty-eight billion, four hundred twenty-six million, nine hundred fifty-four thousand, five hundred forty-four".