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128117880252 = 22334679372711
BaseRepresentation
bin111011101010001101…
…0111011010110111100
3110020200202101122201000
41313110122323112330
54044341134132002
6134505002450300
712153611004525
oct1672432732674
9406622348630
10128117880252
114a37522676a
12209b6503990
13c109c915cb
1462b553784c
1534ec9d861c
hex1dd46bb5bc

128117880252 has 96 divisors (see below), whose sum is σ = 333346890240. Its totient is φ = 42553330560.

The previous prime is 128117880239. The next prime is 128117880287. The reversal of 128117880252 is 252088711821.

It is a junction number, because it is equal to n+sod(n) for n = 128117880198 and 128117880207.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 47257177 + ... + 47259887.

It is an arithmetic number, because the mean of its divisors is an integer number (3472363440).

Almost surely, 2128117880252 is an apocalyptic number.

128117880252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

128117880252 is an abundant number, since it is smaller than the sum of its proper divisors (205229009988).

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

128117880252 is a wasteful number, since it uses less digits than its factorization.

128117880252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The spelling of 128117880252 in words is "one hundred twenty-eight billion, one hundred seventeen million, eight hundred eighty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 467 934 937 1401 1868 1874 2711 2802 2811 3748 4203 5422 5604 5622 8133 8406 8433 10844 11244 12609 16266 16812 16866 24399 25218 25299 32532 33732 48798 50436 50598 73197 97596 101196 146394 292788 437579 875158 1266037 1312737 1750316 2532074 2540207 2625474 3798111 3938211 5064148 5080414 5250948 7596222 7620621 7876422 10160828 11394333 11814633 15192444 15241242 15752844 22788666 22861863 23629266 30482484 34182999 45577332 45723726 47258532 68365998 68585589 91447452 136731996 137171178 274342356 1186276669 2372553338 3558830007 4745106676 7117660014 10676490021 14235320028 21352980042 32029470063 42705960084 64058940126 128117880252