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16005065216 = 29726071051
BaseRepresentation
bin11101110011111100…
…11110101000000000
31112022102100112222012
432321332132220000
5230234244041331
611204100032052
71104422544500
oct167176365000
945272315865
1016005065216
116873495428
123128092628
131680b3a8ba
14abb8cda00
1563a19682b
hex3b9f9ea00

16005065216 has 120 divisors (see below), whose sum is σ = 37296648576. Its totient is φ = 6841497600.

The previous prime is 16005065203. The next prime is 16005065233. The reversal of 16005065216 is 61256050061.

It is a super-2 number, since 2×160050652162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15227891 + ... + 15228941.

Almost surely, 216005065216 is an apocalyptic number.

16005065216 is a gapful number since it is divisible by the number (16) 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 16005065216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18648324288).

16005065216 is an abundant number, since it is smaller than the sum of its proper divisors (21291583360).

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

16005065216 is an equidigital number, since it uses as much as digits as its factorization.

16005065216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 16005065216 in words is "sixteen billion, five million, sixty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 607 784 896 1051 1214 1568 1792 2102 2428 3136 3584 4204 4249 4856 6272 7357 8408 8498 9712 12544 14714 16816 16996 19424 25088 29428 29743 33632 33992 38848 51499 58856 59486 67264 67984 77696 102998 117712 118972 134528 135968 155392 205996 235424 237944 269056 271936 310784 411992 470848 475888 538112 543872 637957 823984 941696 951776 1087744 1275914 1647968 1883392 1903552 2175488 2551828 3295936 3766784 3807104 4465699 5103656 6591872 7614208 8931398 10207312 13183744 15228416 17862796 20414624 26367488 31259893 35725592 40829248 62519786 71451184 81658496 125039572 142902368 163316992 250079144 285804736 326633984 500158288 571609472 1000316576 1143218944 2000633152 2286437888 4001266304 8002532608 16005065216