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2470248729 = 3213194127103
BaseRepresentation
bin1001001100111101…
…0000000100011001
320101011012122012200
42103033100010121
520024340424404
61045042000413
7115133524224
oct22317200431
96334178180
102470248729
111058433483
1258b346109
13304a13750
141961085bb
15e6d00839
hex933d0119

2470248729 has 48 divisors (see below), whose sum is σ = 4143659520. Its totient is φ = 1404967680.

The previous prime is 2470248727. The next prime is 2470248761. The reversal of 2470248729 is 9278420742.

It is not a de Polignac number, because 2470248729 - 21 = 2470248727 is a prime.

It is a super-2 number, since 2×24702487292 = 12204257566252230882, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2470248727) 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 47 ways as a sum of consecutive naturals, for example, 77592 + ... + 104694.

It is an arithmetic number, because the mean of its divisors is an integer number (86326240).

Almost surely, 22470248729 is an apocalyptic number.

It is an amenable number.

2470248729 is a deficient number, since it is larger than the sum of its proper divisors (1673410791).

2470248729 is a wasteful number, since it uses less digits than its factorization.

2470248729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27182 (or 27179 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2470248729 is about 49701.5968455743. The cubic root of 2470248729 is about 1351.8034842769.

The spelling of 2470248729 in words is "two billion, four hundred seventy million, two hundred forty-eight thousand, seven hundred twenty-nine".

Divisors: 1 3 9 13 19 39 41 57 117 123 171 247 369 533 741 779 1599 2223 2337 4797 7011 10127 27103 30381 81309 91143 243927 352339 514957 1057017 1111223 1544871 3171051 3333669 4634613 6694441 10001007 14445899 20083323 21113237 43337697 60249969 63339711 130013091 190019133 274472081 823416243 2470248729