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128418520208 = 24113674094861
BaseRepresentation
bin111011110011001010…
…1110001110010010000
3110021110201002202012012
41313212111301302100
54101000120121313
6134554502322052
712164221261046
oct1674625616220
9407421082165
10128418520208
114a5099a7a40
1220a7b129328
13c157354784
146303436396
1535190c1da8
hex1de6571c90

128418520208 has 80 divisors (see below), whose sum is σ = 272891224320. Its totient is φ = 58058726400.

The previous prime is 128418520193. The next prime is 128418520211. The reversal of 128418520208 is 802025814821.

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 15 ways as a sum of consecutive naturals, for example, 26415698 + ... + 26420558.

It is an arithmetic number, because the mean of its divisors is an integer number (3411140304).

Almost surely, 2128418520208 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 128418520208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136445612160).

128418520208 is an abundant number, since it is smaller than the sum of its proper divisors (144472704112).

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

128418520208 is a wasteful number, since it uses less digits than its factorization.

With its successor (128418520209) it forms an eRAP, since the sums of their prime factors are consecutive (5656 and 5657).

128418520208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5656 (or 5650 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 41.

The spelling of 128418520208 in words is "one hundred twenty-eight billion, four hundred eighteen million, five hundred twenty thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 367 409 734 818 1468 1636 2936 3272 4037 4499 4861 5872 6544 8074 8998 9722 16148 17996 19444 32296 35992 38888 53471 64592 71984 77776 106942 150103 213884 300206 427768 600412 855536 1200824 1651133 1783987 1988149 2401648 3302266 3567974 3976298 6604532 7135948 7952596 13209064 14271896 15905192 19623857 21869639 26418128 28543792 31810384 39247714 43739278 78495428 87478556 156990856 174957112 313981712 349914224 729650683 1459301366 2918602732 5837205464 8026157513 11674410928 16052315026 32104630052 64209260104 128418520208