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16430638848 = 283133153087
BaseRepresentation
bin11110100110101011…
…11010011100000000
31120102002010221020120
433103111322130000
5232122220420343
611314221340240
71121111061111
oct172325723400
946362127216
1016430638848
116a71738178
123226707680
13171b064510
14b1c230208
1566270c683
hex3d357a700

16430638848 has 144 divisors (see below), whose sum is σ = 48613318656. Its totient is φ = 4892405760.

The previous prime is 16430638793. The next prime is 16430638859. The reversal of 16430638848 is 84883603461.

16430638848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 16430638848.

It is a congruent number.

It is an unprimeable number.

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, 282961 + ... + 336047.

Almost surely, 216430638848 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 16430638848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24306659328).

16430638848 is an abundant number, since it is smaller than the sum of its proper divisors (32182679808).

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

16430638848 is a wasteful number, since it uses less digits than its factorization.

16430638848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53150 (or 53136 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 16430638848 in words is "sixteen billion, four hundred thirty million, six hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 256 312 372 384 403 416 496 624 744 768 806 832 992 1209 1248 1488 1612 1664 1984 2418 2496 2976 3224 3328 3968 4836 4992 5952 6448 7936 9672 9984 11904 12896 19344 23808 25792 38688 51584 53087 77376 103168 106174 154752 159261 212348 309504 318522 424696 637044 690131 849392 1274088 1380262 1645697 1698784 2070393 2548176 2760524 3291394 3397568 4140786 4937091 5096352 5521048 6582788 6795136 8281572 9874182 10192704 11042096 13165576 13590272 16563144 19748364 20385408 21394061 22084192 26331152 33126288 39496728 40770816 42788122 44168384 52662304 64182183 66252576 78993456 85576244 88336768 105324608 128364366 132505152 157986912 171152488 176673536 210649216 256728732 265010304 315973824 342304976 421298432 513457464 530020608 631947648 684609952 1026914928 1263895296 1369219904 2053829856 2738439808 4107659712 5476879616 8215319424 16430638848