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2987661824 = 2975971199
BaseRepresentation
bin1011001000010100…
…0001101000000000
321201012210221112122
42302011001220000
522104320134244
61212243543412
7134015464220
oct26205015000
97635727478
102987661824
1112a3503604
126b468ab68
13387c84644
14204b14080
151274581ee
hexb2141a00

2987661824 has 160 divisors (see below), whose sum is σ = 7070976000. Its totient is φ = 1234759680.

The previous prime is 2987661791. The next prime is 2987661863. The reversal of 2987661824 is 4281667892.

It is a super-2 number, since 2×29876618242 = 17852246349174013952, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15013277 + ... + 15013475.

It is an arithmetic number, because the mean of its divisors is an integer number (44193600).

Almost surely, 22987661824 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 2987661824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535488000).

2987661824 is an abundant number, since it is smaller than the sum of its proper divisors (4083314176).

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

2987661824 is an equidigital number, since it uses as much as digits as its factorization.

2987661824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 338 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 53.

The square root of 2987661824 is about 54659.5080841385. The cubic root of 2987661824 is about 1440.2696614329.

The spelling of 2987661824 in words is "two billion, nine hundred eighty-seven million, six hundred sixty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 71 112 118 128 142 199 224 236 256 284 398 413 448 472 497 512 568 796 826 896 944 994 1136 1393 1592 1652 1792 1888 1988 2272 2786 3184 3304 3584 3776 3976 4189 4544 5572 6368 6608 7552 7952 8378 9088 11144 11741 12736 13216 14129 15104 15904 16756 18176 22288 23482 25472 26432 28258 29323 30208 31808 33512 36352 44576 46964 50944 52864 56516 58646 63616 67024 82187 89152 93928 98903 101888 105728 113032 117292 127232 134048 164374 178304 187856 197806 211456 226064 234584 254464 268096 328748 356608 375712 395612 452128 469168 536192 657496 713216 751424 791224 833611 904256 938336 1072384 1314992 1502848 1582448 1667222 1808512 1876672 2144768 2629984 3005696 3164896 3334444 3617024 3753344 5259968 5835277 6011392 6329792 6668888 7234048 7506688 10519936 11670554 12659584 13337776 15013376 21039872 23341108 25319168 26675552 42079744 46682216 50638336 53351104 93364432 106702208 186728864 213404416 373457728 426808832 746915456 1493830912 2987661824