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2117060352 = 283211103811
BaseRepresentation
bin111111000101111…
…1100011100000000
312110112121210211200
41332023330130000
513313431412402
6550023541200
7103314500421
oct17613743400
95415553750
102117060352
11997030860
124b0bba800
132797b2244
1416124b648
15c5cd721c
hex7e2fc700

2117060352 has 216 divisors, whose sum is σ = 6731856768. Its totient is φ = 634521600.

The previous prime is 2117060299. The next prime is 2117060357. The reversal of 2117060352 is 2530607112.

It is a happy number.

2117060352 is a `hidden beast` number, since 2 + 1 + 1 + 7 + 0 + 603 + 52 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117060357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2610027 + ... + 2610837.

Almost surely, 22117060352 is an apocalyptic number.

2117060352 is a gapful number since it is divisible by the number (22) 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 2117060352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365928384).

2117060352 is an abundant number, since it is smaller than the sum of its proper divisors (4614796416).

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

2117060352 is a wasteful number, since it uses less digits than its factorization.

2117060352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2117060352 is about 46011.5241216806. The cubic root of 2117060352 is about 1284.0376149926.

Adding to 2117060352 its reverse (2530607112), we get a palindrome (4647667464).

The spelling of 2117060352 in words is "two billion, one hundred seventeen million, sixty thousand, three hundred fifty-two".