Search a number
-
+
128048921208 = 233213347394249
BaseRepresentation
bin111011101000001001…
…1110111101001111000
3110020111221122011200100
41313100103313221320
54044221010434313
6134454100435400
712152112604665
oct1672023675170
9406457564610
10128048921208
114a33a30681a
12209973a8b60
13c0c88c8840
1462aa306a6c
1534e6916173
hex1dd04f7a78

128048921208 has 96 divisors (see below), whose sum is σ = 374553270000. Its totient is φ = 39286024704.

The previous prime is 128048921183. The next prime is 128048921219. The reversal of 128048921208 is 802129840821.

128048921208 is a `hidden beast` number, since 128 + 0 + 489 + 21 + 20 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127668 + ... + 521916.

Almost surely, 2128048921208 is an apocalyptic number.

128048921208 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 128048921208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187276635000).

128048921208 is an abundant number, since it is smaller than the sum of its proper divisors (246504348792).

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

128048921208 is a wasteful number, since it uses less digits than its factorization.

128048921208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394621 (or 394614 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 128048921208 in words is "one hundred twenty-eight billion, forty-eight million, nine hundred twenty-one thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 347 468 694 936 1041 1388 2082 2776 3123 4164 4511 6246 8328 9022 12492 13533 18044 24984 27066 36088 40599 54132 81198 108264 162396 324792 394249 788498 1182747 1576996 2365494 3153992 3548241 4730988 5125237 7096482 9461976 10250474 14192964 15375711 20500948 28385928 30751422 41001896 46127133 61502844 92254266 123005688 136804403 184508532 273608806 369017064 410413209 547217612 820826418 1094435224 1231239627 1641652836 1778457239 2462479254 3283305672 3556914478 4924958508 5335371717 7113828956 9849917016 10670743434 14227657912 16006115151 21341486868 32012230302 42682973736 64024460604 128048921208