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128830956020136 = 23326133598732687
BaseRepresentation
bin11101010010101111001011…
…010111101010000110101000
3121220011010012211111221020200
4131102233023113222012220
5113341231244220121021
61134000042452152200
736064505121633126
oct3522571327520650
9556133184457220
10128830956020136
113805a9a106a257
1212548376608660
1356b6926441576
1423b564705c916
15ed62c73cc126
hex752bcb5ea1a8

128830956020136 has 96 divisors (see below), whose sum is σ = 354742745011200. Its totient is φ = 42227077806720.

The previous prime is 128830956020113. The next prime is 128830956020167. The reversal of 128830956020136 is 631020659038821.

128830956020136 is a `hidden beast` number, since 1 + 2 + 88 + 309 + 56 + 0 + 201 + 3 + 6 = 666.

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, 10386385 + ... + 19119071.

It is an arithmetic number, because the mean of its divisors is an integer number (3695236927200).

Almost surely, 2128830956020136 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 128830956020136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177371372505600).

128830956020136 is an abundant number, since it is smaller than the sum of its proper divisors (225911788991064).

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

128830956020136 is a wasteful number, since it uses less digits than its factorization.

128830956020136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8736119 (or 8736112 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 128830956020136 in words is "one hundred twenty-eight trillion, eight hundred thirty billion, nine hundred fifty-six million, twenty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 3359 4392 6718 10077 13436 20154 26872 30231 40308 60462 80616 120924 204899 241848 409798 614697 819596 1229394 1639192 1844091 2458788 3688182 4917576 7376364 8732687 14752728 17465374 26198061 34930748 52396122 69861496 78594183 104792244 157188366 209584488 314376732 532693907 628753464 1065387814 1598081721 2130775628 3196163442 4261551256 4794245163 6392326884 9588490326 12784653768 19176980652 29333095633 38353961304 58666191266 87999286899 117332382532 175998573798 234664765064 263997860697 351997147596 527995721394 703994295192 1055991442788 1789318833613 2111982885576 3578637667226 5367956500839 7157275334452 10735913001678 14314550668904 16103869502517 21471826003356 32207739005034 42943652006712 64415478010068 128830956020136