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2717006016 = 26342133613
BaseRepresentation
bin1010000111110010…
…0011100011000000
321000100112012120110
42201330203203000
521031023143031
61125334511320
7124221112224
oct24174434300
97010465513
102717006016
11117475191a
12639b05540
13343b8c18a
141babbc784
1510d7e3c46
hexa1f238c0

2717006016 has 56 divisors (see below), whose sum is σ = 7206034864. Its totient is φ = 903490560.

The previous prime is 2717006003. The next prime is 2717006029. The reversal of 2717006016 is 6106007172.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2717006003) and next prime (2717006029).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64026 + ... + 97638.

It is an arithmetic number, because the mean of its divisors is an integer number (128679194).

Almost surely, 22717006016 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 2717006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603017432).

2717006016 is an abundant number, since it is smaller than the sum of its proper divisors (4489028848).

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

2717006016 is a wasteful number, since it uses less digits than its factorization.

2717006016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34049 (or 34039 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 2717006016 is about 52124.9078272566. The cubic root of 2717006016 is about 1395.3940495990.

The spelling of 2717006016 in words is "two billion, seven hundred seventeen million, six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 421 842 1263 1684 2526 3368 5052 6736 10104 13472 20208 26944 33613 40416 67226 80832 100839 134452 201678 268904 403356 537808 806712 1075616 1613424 2151232 3226848 6453696 14151073 28302146 42453219 56604292 84906438 113208584 169812876 226417168 339625752 452834336 679251504 905668672 1358503008 2717006016