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16501680384 = 283710728687
BaseRepresentation
bin11110101111001001…
…11010100100000000
31120121000211012220120
433113210322210000
5232243412233014
611325240140240
71122632653230
oct172744724400
946530735816
1016501680384
116aa884a792
123246467680
13172c9a9127
14b27843cc0
15668a91ba9
hex3d793a900

16501680384 has 144 divisors (see below), whose sum is σ = 50663467008. Its totient is φ = 4670539776.

The previous prime is 16501680373. The next prime is 16501680397. The reversal of 16501680384 is 48308610561.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 560889 + ... + 589575.

It is an arithmetic number, because the mean of its divisors is an integer number (351829632).

Almost surely, 216501680384 is an apocalyptic number.

16501680384 is a gapful number since it is divisible by the number (14) 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 16501680384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25331733504).

16501680384 is an abundant number, since it is smaller than the sum of its proper divisors (34161786624).

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

16501680384 is a wasteful number, since it uses less digits than its factorization.

16501680384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28820 (or 28806 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 16501680384 in words is "sixteen billion, five hundred one million, six hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 107 112 128 168 192 214 224 256 321 336 384 428 448 642 672 749 768 856 896 1284 1344 1498 1712 1792 2247 2568 2688 2996 3424 4494 5136 5376 5992 6848 8988 10272 11984 13696 17976 20544 23968 27392 28687 35952 41088 47936 57374 71904 82176 86061 95872 114748 143808 172122 191744 200809 229496 287616 344244 401618 458992 575232 602427 688488 803236 917984 1204854 1376976 1606472 1835968 2409708 2753952 3069509 3212944 3671936 4819416 5507904 6139018 6425888 7343872 9208527 9638832 11015808 12278036 12851776 18417054 19277664 21486563 22031616 24556072 25703552 36834108 38555328 42973126 49112144 51407104 64459689 73668216 77110656 85946252 98224288 128919378 147336432 154221312 171892504 196448576 257838756 294672864 343785008 392897152 515677512 589345728 687570016 785794304 1031355024 1178691456 1375140032 2062710048 2357382912 2750280064 4125420096 5500560128 8250840192 16501680384