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2382016616 = 237229317661
BaseRepresentation
bin1000110111111010…
…1011000001101000
320011000011222111122
42031332223001220
514334244012431
61032210514412
7113012543600
oct21576530150
96130158448
102382016616
11101264a381
12565895a08
132bc6603b5
141884dbc00
15de1c2a7b
hex8dfab068

2382016616 has 96 divisors (see below), whose sum is σ = 5399735400. Its totient is φ = 981066240.

The previous prime is 2382016613. The next prime is 2382016619. The reversal of 2382016616 is 6166102832.

2382016616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2382016613) and next prime (2382016619).

It can be written as a sum of positive squares in 4 ways, for example, as 1841268100 + 540748516 = 42910^2 + 23254^2 .

It is not an unprimeable number, because it can be changed into a prime (2382016613) 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, 3603326 + ... + 3603986.

Almost surely, 22382016616 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 2382016616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699867700).

2382016616 is an abundant number, since it is smaller than the sum of its proper divisors (3017718784).

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

2382016616 is a wasteful number, since it uses less digits than its factorization.

2382016616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 2382016616 is about 48805.9075932412. The cubic root of 2382016616 is about 1335.5134378044.

The spelling of 2382016616 in words is "two billion, three hundred eighty-two million, sixteen thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 317 392 406 634 661 812 1268 1322 1421 1624 2219 2536 2644 2842 4438 4627 5288 5684 8876 9193 9254 11368 15533 17752 18386 18508 19169 31066 32389 36772 37016 38338 62132 64351 64778 73544 76676 124264 128702 129556 134183 153352 209537 257404 259112 268366 419074 450457 514808 536732 838148 900914 939281 1073464 1466759 1676296 1801828 1878562 2933518 3603656 3757124 5867036 6076573 7514248 10267313 11734072 12153146 20534626 24306292 41069252 42536011 48612584 82138504 85072022 170144044 297752077 340288088 595504154 1191008308 2382016616