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16242404256 = 2533131446083
BaseRepresentation
bin11110010000001111…
…10110101110100000
31112220221221121221000
433020013312232200
5231231023414011
611243415032000
71113334105161
oct171007665640
945827847830
1016242404256
1169854607a1
12319366b600
1316bb0694c0
14b01231768
15650e29356
hex3c81f6ba0

16242404256 has 96 divisors (see below), whose sum is σ = 51017843520. Its totient is φ = 4997659392.

The previous prime is 16242404251. The next prime is 16242404257. The reversal of 16242404256 is 65240424261.

16242404256 is a `hidden beast` number, since 1 + 6 + 242 + 404 + 2 + 5 + 6 = 666.

16242404256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 16242404256.

It is not an unprimeable number, because it can be changed into a prime (16242404251) 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, 711810 + ... + 734273.

It is an arithmetic number, because the mean of its divisors is an integer number (531435870).

Almost surely, 216242404256 is an apocalyptic number.

16242404256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16242404256 is an abundant number, since it is smaller than the sum of its proper divisors (34775439264).

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

16242404256 is a wasteful number, since it uses less digits than its factorization.

16242404256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446115 (or 1446101 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 16242404256 in words is "sixteen billion, two hundred forty-two million, four hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 1446083 2892166 4338249 5784332 8676498 11568664 13014747 17352996 18799079 23137328 26029494 34705992 37598158 39044241 46274656 52058988 56397237 69411984 75196316 78088482 104117976 112794474 138823968 150392632 156176964 169191711 208235952 225588948 300785264 312353928 338383422 416471904 451177896 507575133 601570528 624707856 676766844 902355792 1015150266 1249415712 1353533688 1804711584 2030300532 2707067376 4060601064 5414134752 8121202128 16242404256