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16463648268 = 2232312895347
BaseRepresentation
bin11110101010100111…
…10101011000001100
31120111101020222122200
433111103311120030
5232204143221033
611321401041500
71121661462354
oct172523653014
946441228580
1016463648268
116a89333691
123235786290
131724b51212
14b22783b64
1566557d013
hex3d54f560c

16463648268 has 108 divisors (see below), whose sum is σ = 43493519160. Its totient is φ = 5250199680.

The previous prime is 16463648221. The next prime is 16463648293. The reversal of 16463648268 is 86284636461.

16463648268 is a `hidden beast` number, since 16 + 4 + 6 + 364 + 8 + 268 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3076371 + ... + 3081717.

It is an arithmetic number, because the mean of its divisors is an integer number (402717770).

Almost surely, 216463648268 is an apocalyptic number.

16463648268 is a gapful number since it is divisible by the number (18) 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 16463648268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21746759580).

16463648268 is an abundant number, since it is smaller than the sum of its proper divisors (27029870892).

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

16463648268 is a wasteful number, since it uses less digits than its factorization.

16463648268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5508 (or 5472 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 16463648268 in words is "sixteen billion, four hundred sixty-three million, six hundred forty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 89 93 124 178 186 267 279 356 372 534 558 801 961 1068 1116 1602 1922 2759 2883 3204 3844 5347 5518 5766 8277 8649 10694 11036 11532 16041 16554 17298 21388 24831 32082 33108 34596 48123 49662 64164 85529 96246 99324 165757 171058 192492 256587 331514 342116 475883 497271 513174 663028 769761 951766 994542 1026348 1427649 1491813 1539522 1903532 1989084 2855298 2983626 3079044 4282947 5138467 5710596 5967252 8565894 10276934 14752373 15415401 17131788 20553868 29504746 30830802 44257119 46246203 59009492 61661604 88514238 92492406 132771357 177028476 184984812 265542714 457323563 531085428 914647126 1371970689 1829294252 2743941378 4115912067 5487882756 8231824134 16463648268