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33858265088 = 2131921072
BaseRepresentation
bin11111100010000111…
…000010000000000000
310020101122022002002002
4133202013002000000
51023320203440323
623315420043132
72306016335054
oct374207020000
9106348262062
1033858265088
11133a512076a
12668b0934a8
13326781c8ab
1418d2a25c64
15d32703828
hex7e21c2000

33858265088 has 126 divisors (see below), whose sum is σ = 72137904111. Its totient is φ = 15888236544.

The previous prime is 33858265087. The next prime is 33858265121. The reversal of 33858265088 is 88056285833.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 16929132544 + 16929132544 = 130112^2 + 130112^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=130112.

It is a super-2 number, since 2×338582650882 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33858265087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 316432331 + ... + 316432437.

Almost surely, 233858265088 is an apocalyptic number.

33858265088 is a gapful number since it is divisible by the number (38) 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 33858265088

33858265088 is an abundant number, since it is smaller than the sum of its proper divisors (38279639023).

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

33858265088 is an frugal number, since it uses more digits than its factorization.

33858265088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 56.

The spelling of 33858265088 in words is "thirty-three billion, eight hundred fifty-eight million, two hundred sixty-five thousand, eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 107 128 152 214 256 304 361 428 512 608 722 856 1024 1216 1444 1712 2033 2048 2432 2888 3424 4066 4096 4864 5776 6848 8132 8192 9728 11449 11552 13696 16264 19456 22898 23104 27392 32528 38627 38912 45796 46208 54784 65056 77254 77824 91592 92416 109568 130112 154508 155648 183184 184832 217531 219136 260224 309016 366368 369664 435062 438272 520448 618032 732736 739328 870124 876544 1040896 1236064 1465472 1478656 1740248 2081792 2472128 2930944 2957312 3480496 4133089 4163584 4944256 5861888 6960992 8266178 8327168 9888512 11723776 13921984 16532356 16654336 19777024 23447552 27843968 33064712 39554048 46895104 55687936 66129424 79108096 93790208 111375872 132258848 158216192 222751744 264517696 316432384 445503488 529035392 891006976 1058070784 1782013952 2116141568 4232283136 8464566272 16929132544 33858265088