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4882989968 = 24171922232
BaseRepresentation
bin1001000110000110…
…01000001110010000
3110121022012120222022
410203003020032100
540000021134333
62124311231012
7232001505233
oct44303101620
913538176868
104882989968
1120863586aa
12b43378468
135ca84089c
1434472341a
151d8a41c98
hex1230c8390

4882989968 has 90 divisors (see below), whose sum is σ = 10619907894. Its totient is φ = 2167174656.

The previous prime is 4882989961. The next prime is 4882989973. The reversal of 4882989968 is 8699892884.

It can be written as a sum of positive squares in only one way, i.e., 4595755264 + 287234704 = 67792^2 + 16948^2 .

It is not an unprimeable number, because it can be changed into a prime (4882989961) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 21896705 + ... + 21896927.

Almost surely, 24882989968 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 4882989968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5309953947).

4882989968 is an abundant number, since it is smaller than the sum of its proper divisors (5736917926).

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

4882989968 is a wasteful number, since it uses less digits than its factorization.

4882989968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 261 counting only the distinct ones).

The product of its digits is 143327232, while the sum is 71.

The square root of 4882989968 is about 69878.3941429681. The cubic root of 4882989968 is about 1696.5315636061.

The spelling of 4882989968 in words is "four billion, eight hundred eighty-two million, nine hundred eighty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 223 272 304 323 361 446 646 722 892 1292 1444 1784 2584 2888 3568 3791 4237 5168 5776 6137 7582 8474 12274 15164 16948 24548 30328 33896 49096 49729 60656 67792 72029 80503 98192 99458 144058 161006 198916 288116 322012 397832 576232 644024 795664 845393 944851 1152464 1288048 1368551 1690786 1889702 2737102 3381572 3779404 5474204 6763144 7558808 10948408 13526288 15117616 16062467 17952169 21896816 32124934 35904338 64249868 71808676 128499736 143617352 256999472 287234704 305186873 610373746 1220747492 2441494984 4882989968