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2471984593 = 132373311279
BaseRepresentation
bin1001001101010111…
…0111110111010001
320101021110211100221
42103111313313101
520030312001333
61045143113041
7115154344111
oct22325676721
96337424327
102471984593
111059409681
1258ba42781
133051a08a0
1419643b041
15e7044d2d
hex93577dd1

2471984593 has 16 divisors (see below), whose sum is σ = 2781918720. Its totient is φ = 2179450944.

The previous prime is 2471984573. The next prime is 2471984597. The reversal of 2471984593 is 3954891742.

It is a cyclic number.

It is not a de Polignac number, because 2471984593 - 25 = 2471984561 is a prime.

It is a super-2 number, since 2×24719845932 = 12221415656058751298, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2471984593.

It is not an unprimeable number, because it can be changed into a prime (2471984597) 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 15 ways as a sum of consecutive naturals, for example, 213528 + ... + 224806.

It is an arithmetic number, because the mean of its divisors is an integer number (173869920).

Almost surely, 22471984593 is an apocalyptic number.

2471984593 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2471984593 is a deficient number, since it is larger than the sum of its proper divisors (309934127).

2471984593 is a wasteful number, since it uses less digits than its factorization.

2471984593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12048.

The product of its digits is 2177280, while the sum is 52.

The square root of 2471984593 is about 49719.0566382750. The cubic root of 2471984593 is about 1352.1200512613.

The spelling of 2471984593 in words is "two billion, four hundred seventy-one million, nine hundred eighty-four thousand, five hundred ninety-three".

Divisors: 1 13 23 299 733 9529 11279 16859 146627 219167 259417 3372421 8267507 107477591 190152661 2471984593