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7055813248 = 271119733613
BaseRepresentation
bin1101001001000111…
…10010101010000000
3200012201202110011121
412210203302222000
5103422242010443
63124050322024
7336564265051
oct64443625200
920181673147
107055813248
112aa0905a20
12144ab89314
13885a48333
144ad128728
152b46914ed
hex1a48f2a80

7055813248 has 128 divisors (see below), whose sum is σ = 16367083200. Its totient is φ = 2995937280.

The previous prime is 7055813243. The next prime is 7055813273. The reversal of 7055813248 is 8423185507.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (7055813243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1951090 + ... + 1954702.

Almost surely, 27055813248 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 7055813248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8183541600).

7055813248 is an abundant number, since it is smaller than the sum of its proper divisors (9311269952).

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

7055813248 is a wasteful number, since it uses less digits than its factorization.

7055813248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The square root of 7055813248 is about 83998.8883735969. Note that the first 3 decimals coincide. The cubic root of 7055813248 is about 1918.0018680372.

The spelling of 7055813248 in words is "seven billion, fifty-five million, eight hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 73 76 88 128 146 152 176 209 292 304 352 418 584 608 704 803 836 1168 1216 1387 1408 1606 1672 2336 2432 2774 3212 3344 3613 4672 5548 6424 6688 7226 9344 11096 12848 13376 14452 15257 22192 25696 26752 28904 30514 39743 44384 51392 57808 61028 68647 79486 88768 102784 115616 122056 137294 158972 177536 231232 244112 263749 274588 317944 462464 488224 527498 549176 635888 755117 976448 1054996 1098352 1271776 1510234 1952896 2109992 2196704 2543552 2901239 3020468 4219984 4393408 5011231 5087104 5802478 6040936 8439968 8786816 10022462 11604956 12081872 16879936 20044924 23209912 24163744 33759872 40089848 46419824 48327488 55123541 80179696 92839648 96654976 110247082 160359392 185679296 220494164 320718784 371358592 440988328 641437568 881976656 1763953312 3527906624 7055813248