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9006875984 = 241822930881
BaseRepresentation
bin10000110001101101…
…00000010101010000
3212020201000201002102
420120312200111100
5121421230012414
64045424335532
7436125116441
oct103066402520
925221021072
109006875984
113902168267
1218b44745a8
13b07019c22
146162c52c8
1537aad8ede
hex218da0550

9006875984 has 20 divisors (see below), whose sum is σ = 17452344660. Its totient is φ = 4503045120.

The previous prime is 9006875981. The next prime is 9006875987. The reversal of 9006875984 is 4895786009.

It is an interprime number because it is at equal distance from previous prime (9006875981) and next prime (9006875987).

It can be written as a sum of positive squares in 2 ways, for example, as 8906074384 + 100801600 = 94372^2 + 10040^2 .

It is a super-2 number, since 2×90068759842 (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 (9006875981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 276224 + ... + 307104.

It is an arithmetic number, because the mean of its divisors is an integer number (872617233).

Almost surely, 29006875984 is an apocalyptic number.

It is an amenable number.

9006875984 is a deficient number, since it is larger than the sum of its proper divisors (8445468676).

9006875984 is a wasteful number, since it uses less digits than its factorization.

9006875984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49118 (or 49112 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 56.

The square root of 9006875984 is about 94904.5625036015. The cubic root of 9006875984 is about 2080.6134149867.

The spelling of 9006875984 in words is "nine billion, six million, eight hundred seventy-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 18229 30881 36458 61762 72916 123524 145832 247048 291664 494096 562929749 1125859498 2251718996 4503437992 9006875984