Search a number
-
+
16363400448 = 28341895839
BaseRepresentation
bin11110011110101010…
…11010110100000000
31120020101121212111110
433033111122310000
5232003012303243
611303420243320
71116333415563
oct171725326400
946211555443
1016363400448
116a37792a4a
1232080a0540
13170a151995
14b1332a4da
1565b879e33
hex3cf55ad00

16363400448 has 144 divisors (see below), whose sum is σ = 45121708800. Its totient is φ = 5260738560.

The previous prime is 16363400447. The next prime is 16363400453. The reversal of 16363400448 is 84400436361.

It is a happy number.

16363400448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16363400447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2799513 + ... + 2805351.

It is an arithmetic number, because the mean of its divisors is an integer number (313345200).

Almost surely, 216363400448 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 16363400448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22560854400).

16363400448 is an abundant number, since it is smaller than the sum of its proper divisors (28758308352).

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

16363400448 is an equidigital number, since it uses as much as digits as its factorization.

16363400448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5988 (or 5974 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 16363400448 in words is "sixteen billion, three hundred sixty-three million, four hundred thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 89 96 123 128 164 178 192 246 256 267 328 356 384 492 534 656 712 768 984 1068 1312 1424 1968 2136 2624 2848 3649 3936 4272 5248 5696 5839 7298 7872 8544 10496 10947 11392 11678 14596 15744 17088 17517 21894 22784 23356 29192 31488 34176 35034 43788 46712 58384 68352 70068 87576 93424 116768 140136 175152 186848 233536 239399 280272 350304 373696 467072 478798 519671 560544 700608 718197 747392 934144 957596 1039342 1121088 1401216 1436394 1494784 1559013 1915192 2078684 2242176 2802432 2872788 3118026 3830384 4157368 4484352 5745576 6236052 7660768 8314736 11491152 12472104 15321536 16629472 21306511 22982304 24944208 30643072 33258944 42613022 45964608 49888416 61286144 63919533 66517888 85226044 91929216 99776832 127839066 133035776 170452088 183858432 199553664 255678132 340904176 399107328 511356264 681808352 1022712528 1363616704 2045425056 2727233408 4090850112 5454466816 8181700224 16363400448