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2382664816 = 247412412153
BaseRepresentation
bin1000111000000100…
…1001010001110000
320011001101220200001
42032001021101300
514334430233231
61032232435344
7113021213440
oct21601112160
96131356601
102382664816
111012a52384
12565b48b54
132bc82944c
1418862a120
15de29eb61
hex8e049470

2382664816 has 80 divisors (see below), whose sum is σ = 5429527488. Its totient is φ = 991641600.

The previous prime is 2382664807. The next prime is 2382664861. The reversal of 2382664816 is 6184662832.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1105596 + ... + 1107748.

Almost surely, 22382664816 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 2382664816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714763744).

2382664816 is an abundant number, since it is smaller than the sum of its proper divisors (3046862672).

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

2382664816 is a wasteful number, since it uses less digits than its factorization.

2382664816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2444 counting only the distinct ones).

The product of its digits is 663552, while the sum is 46.

The square root of 2382664816 is about 48812.5477310906. The cubic root of 2382664816 is about 1335.6345678437.

The spelling of 2382664816 in words is "two billion, three hundred eighty-two million, six hundred sixty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 241 287 328 482 574 656 964 1148 1687 1928 2153 2296 3374 3856 4306 4592 6748 8612 9881 13496 15071 17224 19762 26992 30142 34448 39524 60284 69167 79048 88273 120568 138334 158096 176546 241136 276668 353092 518873 553336 617911 706184 1037746 1106672 1235822 1412368 2075492 2471644 3632111 4150984 4943288 7264222 8301968 9886576 14528444 21273793 29056888 42547586 58113776 85095172 148916551 170190344 297833102 340380688 595666204 1191332408 2382664816