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2117032704 = 28324173307
BaseRepresentation
bin111111000101111…
…0101101100000000
312110112120101220200
41332023311230000
513313430021304
6550023205200
7103314324003
oct17613655400
95415511820
102117032704
11997012006
124b0ba6800
132797a2797
1416124153a
15c5ccde39
hex7e2f5b00

2117032704 has 216 divisors, whose sum is σ = 6359104752. Its totient is φ = 676823040.

The previous prime is 2117032699. The next prime is 2117032711. The reversal of 2117032704 is 4072307112.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6895719 + ... + 6896025.

Almost surely, 22117032704 is an apocalyptic number.

2117032704 is a gapful number since it is divisible by the number (24) 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 2117032704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179552376).

2117032704 is an abundant number, since it is smaller than the sum of its proper divisors (4242072048).

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

2117032704 is a wasteful number, since it uses less digits than its factorization.

2117032704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 2117032704 is about 46011.2236742297. The cubic root of 2117032704 is about 1284.0320252879.

Adding to 2117032704 its reverse (4072307112), we get a palindrome (6189339816).

The spelling of 2117032704 in words is "two billion, one hundred seventeen million, thirty-two thousand, seven hundred four".