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21406514248 = 2378917412467
BaseRepresentation
bin10011111011111011…
…010111110001001000
32001020212010121002001
4103323323113301020
5322320031423443
613500051520344
71355321240350
oct237373276110
961225117061
1021406514248
119095467a99
124194bb90b4
132031bc74a2
141071011b60
1585449ad4d
hex4fbed7c48

21406514248 has 64 divisors (see below), whose sum is σ = 46431964800. Its totient is φ = 9062254080.

The previous prime is 21406514237. The next prime is 21406514279. The reversal of 21406514248 is 84241560412.

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, 8675911 + ... + 8678377.

It is an arithmetic number, because the mean of its divisors is an integer number (725499450).

Almost surely, 221406514248 is an apocalyptic number.

21406514248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21406514248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23215982400).

21406514248 is an abundant number, since it is smaller than the sum of its proper divisors (25025450552).

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

21406514248 is a wasteful number, since it uses less digits than its factorization.

21406514248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 21406514248 in words is "twenty-one billion, four hundred six million, five hundred fourteen thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 56 89 178 356 623 712 1246 1741 2467 2492 3482 4934 4984 6964 9868 12187 13928 17269 19736 24374 34538 48748 69076 97496 138152 154949 219563 309898 439126 619796 878252 1084643 1239592 1536941 1756504 2169286 3073882 4295047 4338572 6147764 8590094 8677144 12295528 17180188 30065329 34360376 60130658 120261316 240522632 382259183 764518366 1529036732 2675814281 3058073464 5351628562 10703257124 21406514248