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9953948249 = 72203141801
BaseRepresentation
bin10010100010100110…
…10011001001011001
3221200201002221222222
421101103103021121
5130341202320444
64323415353425
7501445110200
oct112123231131
927621087888
109953948249
114248820713
121b19682875
13c282b520b
146a5db6237
153d3d12eee
hex2514d3259

9953948249 has 6 divisors (see below), whose sum is σ = 11579082714. Its totient is φ = 8531955600.

The previous prime is 9953948227. The next prime is 9953948261. The reversal of 9953948249 is 9428493599.

It can be written as a sum of positive squares in only one way, i.e., 5247988249 + 4705960000 = 72443^2 + 68600^2 .

It is not a de Polignac number, because 9953948249 - 212 = 9953944153 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9953948191 and 9953948200.

It is not an unprimeable number, because it can be changed into a prime (9953948449) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 101570852 + ... + 101570949.

It is an arithmetic number, because the mean of its divisors is an integer number (1929847119).

Almost surely, 29953948249 is an apocalyptic number.

It is an amenable number.

9953948249 is a deficient number, since it is larger than the sum of its proper divisors (1625134465).

9953948249 is a wasteful number, since it uses less digits than its factorization.

9953948249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203141815 (or 203141808 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 62.

The square root of 9953948249 is about 99769.4755373606. The cubic root of 9953948249 is about 2151.1224172881.

The spelling of 9953948249 in words is "nine billion, nine hundred fifty-three million, nine hundred forty-eight thousand, two hundred forty-nine".

Divisors: 1 7 49 203141801 1421992607 9953948249