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21185060992 = 273715972801
BaseRepresentation
bin10011101110101110…
…100110000010000000
32000200102102121022121
4103232232212002000
5321341333422432
613422101214024
71346662022134
oct235656460200
960612377277
1021185060992
118a91461977
124132a01314
131cc806b464
14104d8473c4
1583ed05197
hex4eeba6080

21185060992 has 64 divisors (see below), whose sum is σ = 43387905240. Its totient is φ = 10296115200.

The previous prime is 21185060987. The next prime is 21185061031. The reversal of 21185060992 is 29906058112.

It can be written as a sum of positive squares in 4 ways, for example, as 19081554496 + 2103506496 = 138136^2 + 45864^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7561992 + ... + 7564792.

Almost surely, 221185060992 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 21185060992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21693952620).

21185060992 is an abundant number, since it is smaller than the sum of its proper divisors (22202844248).

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

21185060992 is a wasteful number, since it uses less digits than its factorization.

21185060992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The spelling of 21185060992 in words is "twenty-one billion, one hundred eighty-five million, sixty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 1597 2368 2801 3194 4736 5602 6388 11204 12776 22408 25552 44816 51104 59089 89632 102208 103637 118178 179264 204416 207274 236356 358528 414548 472712 829096 945424 1658192 1890848 3316384 3781696 4473197 6632768 7563392 8946394 13265536 17892788 35785576 71571152 143142304 165508289 286284608 331016578 572569216 662033156 1324066312 2648132624 5296265248 10592530496 21185060992