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2716642116 = 2232194918089
BaseRepresentation
bin1010000111101100…
…1010101101000100
321000022211201101200
42201323022231010
521030430021431
61125323022500
7124215035256
oct24173125504
97008751350
102716642116
111174523481
1263996aa30
13343a92656
141bab25cd6
1510d770ee6
hexa1ecab44

2716642116 has 72 divisors (see below), whose sum is σ = 7244109600. Its totient is φ = 856033920.

The previous prime is 2716642111. The next prime is 2716642151. The reversal of 2716642116 is 6112466172.

2716642116 is a `hidden beast` number, since 2 + 7 + 1 + 6 + 642 + 1 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2716642111) 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, 331800 + ... + 339888.

Almost surely, 22716642116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2716642116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622054800).

2716642116 is an abundant number, since it is smaller than the sum of its proper divisors (4527467484).

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

2716642116 is a wasteful number, since it uses less digits than its factorization.

2716642116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8609 (or 8604 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2716642116 is about 52121.4170567148. The cubic root of 2716642116 is about 1395.3317498270.

The spelling of 2716642116 in words is "two billion, seven hundred sixteen million, six hundred forty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 491 684 982 1473 1964 2946 4419 5892 8089 8838 9329 16178 17676 18658 24267 27987 32356 37316 48534 55974 72801 83961 97068 111948 145602 153691 167922 291204 307382 335844 461073 614764 922146 1383219 1844292 2766438 3971699 5532876 7943398 11915097 15886796 23830194 35745291 47660388 71490582 75462281 142981164 150924562 226386843 301849124 452773686 679160529 905547372 1358321058 2716642116