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16397704224 = 2532116737691
BaseRepresentation
bin11110100010110000…
…10001110000100000
31120022210011200102200
433101120101300200
5232040303013344
611311043413200
71120231120566
oct172130216040
946283150380
1016397704224
116a55092980
123217684200
1317142a2885
14b17ad9a36
1565e8a4069
hex3d1611c20

16397704224 has 144 divisors (see below), whose sum is σ = 50952361824. Its totient is φ = 4960972800.

The previous prime is 16397704201. The next prime is 16397704307. The reversal of 16397704224 is 42240779361.

16397704224 is a `hidden beast` number, since 1 + 639 + 7 + 7 + 0 + 4 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 16397704224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2128219 + ... + 2135909.

It is an arithmetic number, because the mean of its divisors is an integer number (353835846).

Almost surely, 216397704224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16397704224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25476180912).

16397704224 is an abundant number, since it is smaller than the sum of its proper divisors (34554657600).

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

16397704224 is a wasteful number, since it uses less digits than its factorization.

16397704224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8391 (or 8380 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 16397704224 in words is "sixteen billion, three hundred ninety-seven million, seven hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 673 792 1056 1346 1584 2019 2692 3168 4038 5384 6057 7403 7691 8076 10768 12114 14806 15382 16152 21536 22209 23073 24228 29612 30764 32304 44418 46146 48456 59224 61528 64608 66627 69219 84601 88836 92292 96912 118448 123056 133254 138438 169202 177672 184584 193824 236896 246112 253803 266508 276876 338404 355344 369168 507606 533016 553752 676808 710688 738336 761409 1015212 1066032 1107504 1353616 1522818 2030424 2132064 2215008 2707232 3045636 4060848 5176043 6091272 8121696 10352086 12182544 15528129 20704172 24365088 31056258 41408344 46584387 56936473 62112516 82816688 93168774 113872946 124225032 165633376 170809419 186337548 227745892 248450064 341618838 372675096 455491784 496900128 512428257 683237676 745350192 910983568 1024856514 1366475352 1490700384 1821967136 2049713028 2732950704 4099426056 5465901408 8198852112 16397704224