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99945153 = 32721121873
BaseRepresentation
bin1011111010100…
…00101011000001
320222001201222100
411331100223001
5201041221103
613530101013
72322343200
oct575205301
9228051870
1099945153
1151464300
122957a769
1317924859
14d3b9237
158b935a3
hex5f50ac1

99945153 has 54 divisors (see below), whose sum is σ = 184688322. Its totient is φ = 51891840.

The previous prime is 99945151. The next prime is 99945161. The reversal of 99945153 is 35154999.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 58110129 + 41835024 = 7623^2 + 6468^2 .

It is not a de Polignac number, because 99945153 - 21 = 99945151 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 99945099 and 99945108.

It is not an unprimeable number, because it can be changed into a prime (99945151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 52425 + ... + 54297.

Almost surely, 299945153 is an apocalyptic number.

It is an amenable number.

99945153 is a deficient number, since it is larger than the sum of its proper divisors (84743169).

99945153 is a wasteful number, since it uses less digits than its factorization.

99945153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1894 counting only the distinct ones).

The product of its digits is 218700, while the sum is 45.

The square root of 99945153 is about 9997.2572738727. The cubic root of 99945153 is about 464.0740087681.

The spelling of 99945153 in words is "ninety-nine million, nine hundred forty-five thousand, one hundred fifty-three".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 363 441 539 693 847 1089 1617 1873 2541 4851 5619 5929 7623 13111 16857 17787 20603 39333 53361 61809 91777 117999 144221 185427 226633 275331 432663 679899 825993 1009547 1297989 1586431 2039697 3028641 4759293 9085923 11105017 14277879 33315051 99945153