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128869353108 = 22351921133071
BaseRepresentation
bin111100000000100110…
…1100100011010010100
3110022122010102102200000
41320001031210122110
54102411023244413
6135111325251300
712211334266506
oct1700115443224
9408563372600
10128869353108
114a720432411
1220b86103b30
13c1c98835c2
14634726dd76
153543977073
hex1e01364694

128869353108 has 144 divisors (see below), whose sum is σ = 357294013440. Its totient is φ = 40501490400.

The previous prime is 128869353103. The next prime is 128869353121. The reversal of 128869353108 is 801353968821.

128869353108 is a `hidden beast` number, since 1 + 28 + 86 + 9 + 3 + 531 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128869353103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3880213 + ... + 3913283.

Almost surely, 2128869353108 is an apocalyptic number.

128869353108 is a gapful number since it is divisible by the number (18) 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 128869353108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178647006720).

128869353108 is an abundant number, since it is smaller than the sum of its proper divisors (228424660332).

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

128869353108 is a wasteful number, since it uses less digits than its factorization.

128869353108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33320 (or 33306 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 128869353108 in words is "one hundred twenty-eight billion, eight hundred sixty-nine million, three hundred fifty-three thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 211 228 243 324 342 422 486 513 633 684 844 972 1026 1266 1539 1899 2052 2532 3078 3798 4009 4617 5697 6156 7596 8018 9234 11394 12027 16036 17091 18468 22788 24054 33071 34182 36081 48108 51273 66142 68364 72162 99213 102546 108243 132284 144324 198426 205092 216486 297639 324729 396852 432972 595278 628349 649458 892917 974187 1190556 1256698 1298916 1785834 1885047 1948374 2513396 2678751 3571668 3770094 3896748 5357502 5655141 6977981 7540188 8036253 10715004 11310282 13955962 16072506 16965423 20933943 22620564 27911924 32145012 33930846 41867886 50896269 62801829 67861692 83735772 101792538 125603658 132581639 152688807 188405487 203585076 251207316 265163278 305377614 376810974 397744917 530326556 565216461 610755228 753621948 795489834 1130432922 1193234751 1590979668 1695649383 2260865844 2386469502 3391298766 3579704253 4772939004 6782597532 7159408506 10739112759 14318817012 21478225518 32217338277 42956451036 64434676554 128869353108