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2384975216 = 24131011071061
BaseRepresentation
bin1000111000100111…
…1101010101110000
320011012202021221102
42032021331111300
514341023201331
61032354143532
7113046645341
oct21611752560
96135667842
102384975216
1110142901a8
12566881ba8
132c0157c50
14188a6c0c8
15de5a94cb
hex8e27d570

2384975216 has 80 divisors (see below), whose sum is σ = 5077362528. Its totient is φ = 1078656000.

The previous prime is 2384975183. The next prime is 2384975227. The reversal of 2384975216 is 6125794832.

2384975216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2247326 + ... + 2248386.

Almost surely, 22384975216 is an apocalyptic number.

2384975216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2384975216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538681264).

2384975216 is an abundant number, since it is smaller than the sum of its proper divisors (2692387312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2384975216 is a wasteful number, since it uses less digits than its factorization.

2384975216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1284 counting only the distinct ones).

The product of its digits is 725760, while the sum is 47.

The square root of 2384975216 is about 48836.2080428037. The cubic root of 2384975216 is about 1336.0661369007.

The spelling of 2384975216 in words is "two billion, three hundred eighty-four million, nine hundred seventy-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 101 104 107 202 208 214 404 428 808 856 1061 1313 1391 1616 1712 2122 2626 2782 4244 5252 5564 8488 10504 10807 11128 13793 16976 21008 21614 22256 27586 43228 55172 86456 107161 110344 113527 140491 172912 214322 220688 227054 280982 428644 454108 561964 857288 908216 1123928 1393093 1475851 1714576 1816432 2247856 2786186 2951702 5572372 5903404 11144744 11466227 11806808 22289488 22932454 23613616 45864908 91729816 149060951 183459632 298121902 596243804 1192487608 2384975216