Search a number
-
+
2993508990976 = 2147219312
BaseRepresentation
bin101011100011111011000…
…010100100000000000000
3101121011202210021212000111
4223203323002210000000
5343021201300202401
610211110554401104
7426162641406400
oct53437302440000
911534683255014
102993508990976
11a545a386a609
124041b4130194
13189395b0956a
14a4c5abd2800
1552d0496be51
hex2b8fb0a4000

2993508990976 has 135 divisors (see below), whose sum is σ = 6967886199267. Its totient is φ = 1282268037120.

The previous prime is 2993508990959. The next prime is 2993508990977. The reversal of 2993508990976 is 6790998053992.

The square root of 2993508990976 is 1730176.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×29935089909762 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2993508990977) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1550236731 + ... + 1550238661.

Almost surely, 22993508990976 is an apocalyptic number.

2993508990976 is the 1730176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2993508990976

2993508990976 is an abundant number, since it is smaller than the sum of its proper divisors (3974377208291).

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

2993508990976 is an frugal number, since it uses more digits than its factorization.

2993508990976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 595213920, while the sum is 76.

The spelling of 2993508990976 in words is "two trillion, nine hundred ninety-three billion, five hundred eight million, nine hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 1931 2048 3136 3584 3862 4096 6272 7168 7724 8192 12544 13517 14336 15448 16384 25088 27034 28672 30896 50176 54068 57344 61792 94619 100352 108136 114688 123584 189238 200704 216272 247168 378476 401408 432544 494336 756952 802816 865088 988672 1513904 1730176 1977344 3027808 3460352 3728761 3954688 6055616 6920704 7457522 7909376 12111232 13841408 14915044 15818752 24222464 26101327 27682816 29830088 31637504 48444928 52202654 55365632 59660176 96889856 104405308 110731264 119320352 182709289 193779712 208810616 221462528 238640704 365418578 387559424 417621232 477281408 730837156 775118848 835242464 954562816 1461674312 1550237696 1670484928 1909125632 2923348624 3340969856 3818251264 5846697248 6681939712 7636502528 11693394496 13363879424 15273005056 23386788992 26727758848 30546010112 46773577984 53455517696 61092020224 93547155968 106911035392 187094311936 213822070784 374188623872 427644141568 748377247744 1496754495488 2993508990976