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16244914336 = 2572671011531
BaseRepresentation
bin11110010000100010…
…11011100010100000
31112221010200011002221
433020101123202200
5231232144224321
611243544520424
71113364331200
oct171021334240
945833604087
1016244914336
116986915642
123194480114
1316bb737b61
14b016c6400
15651272e41
hex3c845b8a0

16244914336 has 144 divisors (see below), whose sum is σ = 38157793632. Its totient is φ = 6785856000.

The previous prime is 16244914327. The next prime is 16244914337. The reversal of 16244914336 is 63341944261.

It is a junction number, because it is equal to n+sod(n) for n = 16244914292 and 16244914301.

It is not an unprimeable number, because it can be changed into a prime (16244914337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10609891 + ... + 10611421.

It is an arithmetic number, because the mean of its divisors is an integer number (264984678).

Almost surely, 216244914336 is an apocalyptic number.

16244914336 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 16244914336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19078896816).

16244914336 is an abundant number, since it is smaller than the sum of its proper divisors (21912879296).

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

16244914336 is a wasteful number, since it uses less digits than its factorization.

16244914336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1708 counting only the distinct ones).

The product of its digits is 373248, while the sum is 43.

The spelling of 16244914336 in words is "sixteen billion, two hundred forty-four million, nine hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 67 98 101 112 134 196 202 224 268 392 404 469 536 707 784 808 938 1072 1414 1531 1568 1616 1876 2144 2828 3062 3232 3283 3752 4949 5656 6124 6566 6767 7504 9898 10717 11312 12248 13132 13534 15008 19796 21434 22624 24496 26264 27068 39592 42868 47369 48992 52528 54136 75019 79184 85736 94738 102577 105056 108272 150038 154631 158368 171472 189476 205154 216544 300076 309262 331583 342944 378952 410308 600152 618524 663166 718039 757904 820616 1082417 1200304 1237048 1326332 1436078 1515808 1641232 2164834 2400608 2474096 2652664 2872156 3282464 4329668 4948192 5026273 5305328 5744312 7576919 8659336 10052546 10360277 10610656 11488624 15153838 17318672 20105092 20720554 22977248 30307676 34637344 40210184 41441108 60615352 72521939 80420368 82882216 121230704 145043878 160840736 165764432 242461408 290087756 331528864 507653573 580175512 1015307146 1160351024 2030614292 2320702048 4061228584 8122457168 16244914336