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2987262816 = 253236592053
BaseRepresentation
bin1011001000001110…
…0000001101100000
321201012001200012120
42302003200031200
522104214402231
61212231224240
7134012213016
oct26203401540
97635050176
102987262816
1112a326084a
126b4518080
13387b74b45
14204a4c8b6
151273c9d96
hexb20e0360

2987262816 has 96 divisors (see below), whose sum is σ = 8198910720. Its totient is φ = 950552064.

The previous prime is 2987262809. The next prime is 2987262841. The reversal of 2987262816 is 6182627892.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1454046 + ... + 1456098.

It is an arithmetic number, because the mean of its divisors is an integer number (85405320).

Almost surely, 22987262816 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 2987262816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4099455360).

2987262816 is an abundant number, since it is smaller than the sum of its proper divisors (5211647904).

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

2987262816 is a wasteful number, since it uses less digits than its factorization.

2987262816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2740 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 2987262816 is about 54655.8580208929. The cubic root of 2987262816 is about 1440.2055416478.

The spelling of 2987262816 in words is "two billion, nine hundred eighty-seven million, two hundred sixty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 659 736 1104 1318 1977 2053 2208 2636 3954 4106 5272 6159 7908 8212 10544 12318 15157 15816 16424 21088 24636 30314 31632 32848 45471 47219 49272 60628 63264 65696 90942 94438 98544 121256 141657 181884 188876 197088 242512 283314 363768 377752 485024 566628 727536 755504 1133256 1352927 1455072 1511008 2266512 2705854 4058781 4533024 5411708 8117562 10823416 16235124 21646832 31117321 32470248 43293664 62234642 64940496 93351963 124469284 129880992 186703926 248938568 373407852 497877136 746815704 995754272 1493631408 2987262816