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9954352989 = 327239756857
BaseRepresentation
bin10010100010101001…
…10101111101011101
3221200201212112012100
421101110311331131
5130341303243424
64323432155313
7501451414200
oct112124657535
927621775170
109954352989
114248a77809
121b19838b39
13c283c74c9
146a607d937
153d3d92dc9
hex251535f5d

9954352989 has 36 divisors (see below), whose sum is σ = 16768447644. Its totient is φ = 5673773952.

The previous prime is 9954352963. The next prime is 9954352997. The reversal of 9954352989 is 9892534599.

9954352989 is a `hidden beast` number, since 9 + 9 + 543 + 5 + 2 + 9 + 89 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5396077764 + 4558275225 = 73458^2 + 67515^2 .

It is not a de Polignac number, because 9954352989 - 25 = 9954352957 is a prime.

It is a super-2 number, since 2×99543529892 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9954352589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 146649 + ... + 203505.

Almost surely, 29954352989 is an apocalyptic number.

It is an amenable number.

9954352989 is a deficient number, since it is larger than the sum of its proper divisors (6814094655).

9954352989 is a wasteful number, since it uses less digits than its factorization.

9954352989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57274 (or 57264 counting only the distinct ones).

The product of its digits is 31492800, while the sum is 63.

The square root of 9954352989 is about 99771.5038926446. The cubic root of 9954352989 is about 2151.1515726700.

The spelling of 9954352989 in words is "nine billion, nine hundred fifty-four million, three hundred fifty-two thousand, nine hundred eighty-nine".

Divisors: 1 3 7 9 21 49 63 147 397 441 1191 2779 3573 8337 19453 25011 56857 58359 170571 175077 397999 511713 1193997 2785993 3581991 8357979 22572229 25073937 67716687 158005603 203150061 474016809 1106039221 1422050427 3318117663 9954352989