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9006955804 = 2271177337831
BaseRepresentation
bin10000110001101101…
…10011110100011100
3212020201011202120201
420120312303310130
5121421240041204
64045430153244
7436125601240
oct103066636434
925221152521
109006955804
113902212230
1218b44b2824
13b07047362
14616306420
1537ab029a4
hex218db3d1c

9006955804 has 48 divisors (see below), whose sum is σ = 19677482496. Its totient is φ = 3504571200.

The previous prime is 9006955801. The next prime is 9006955813. The reversal of 9006955804 is 4085596009.

9006955804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×90069558042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9006955801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219169 + ... + 256999.

It is an arithmetic number, because the mean of its divisors is an integer number (409947552).

Almost surely, 29006955804 is an apocalyptic number.

It is an amenable number.

9006955804 is an abundant number, since it is smaller than the sum of its proper divisors (10670526692).

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

9006955804 is a wasteful number, since it uses less digits than its factorization.

9006955804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38626 (or 38624 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The square root of 9006955804 is about 94904.9830303973. The cubic root of 9006955804 is about 2080.6195611825.

The spelling of 9006955804 in words is "nine billion, six million, nine hundred fifty-five thousand, eight hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 773 1546 3092 5411 8503 10822 17006 21644 34012 37831 59521 75662 119042 151324 238084 264817 416141 529634 832282 1059268 1664564 2912987 5825974 11651948 29243363 58486726 116973452 204703541 321676993 409407082 643353986 818814164 1286707972 2251738951 4503477902 9006955804