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8875052136 = 2332237097559
BaseRepresentation
bin10000100001111111…
…01000110001101000
3211220111222100202200
420100333220301220
5121134003132021
64024355100200
7432634461366
oct102077506150
924814870680
108875052136
113844810035
1218782a1660
13ab5913252
146029ac636
1536e24a126
hex210fe8c68

8875052136 has 96 divisors (see below), whose sum is σ = 25120368000. Its totient is φ = 2825361792.

The previous prime is 8875052117. The next prime is 8875052183. The reversal of 8875052136 is 6312505788.

8875052136 is a `hidden beast` number, since 8 + 8 + 7 + 505 + 2 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8875052091 and 8875052100.

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, 1170325 + ... + 1177883.

It is an arithmetic number, because the mean of its divisors is an integer number (261670500).

Almost surely, 28875052136 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 8875052136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12560184000).

8875052136 is an abundant number, since it is smaller than the sum of its proper divisors (16245315864).

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

8875052136 is a wasteful number, since it uses less digits than its factorization.

8875052136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8303 (or 8296 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 8875052136 is about 94207.4951158346. The cubic root of 8875052136 is about 2070.4129288946.

The spelling of 8875052136 in words is "eight billion, eight hundred seventy-five million, fifty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 709 828 1418 1656 2127 2836 4254 5672 6381 7559 8508 12762 15118 16307 17016 22677 25524 30236 32614 45354 48921 51048 60472 65228 68031 90708 97842 130456 136062 146763 173857 181416 195684 272124 293526 347714 391368 521571 544248 587052 695428 1043142 1174104 1390856 1564713 2086284 3129426 4172568 5359331 6258852 10718662 12517704 16077993 21437324 32155986 42874648 48233979 64311972 96467958 123264613 128623944 192935916 246529226 369793839 385871832 493058452 739587678 986116904 1109381517 1479175356 2218763034 2958350712 4437526068 8875052136