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16430554272 = 2531115559237
BaseRepresentation
bin11110100110101011…
…00101110010100000
31120102001222122020010
433103111211302200
5232122210214042
611314215444520
71121110256406
oct172325456240
946361878203
1016430554272
116a7168a680
123226686740
13171b034b82
14b1c20b476
156626e259c
hex3d3565ca0

16430554272 has 48 divisors (see below), whose sum is σ = 47051135712. Its totient is φ = 4978955520.

The previous prime is 16430554219. The next prime is 16430554291. The reversal of 16430554272 is 27245503461.

16430554272 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 (48).

It is a super-2 number, since 2×164305542722 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16430554272.

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 7 ways as a sum of consecutive naturals, for example, 7778563 + ... + 7780674.

It is an arithmetic number, because the mean of its divisors is an integer number (980231994).

Almost surely, 216430554272 is an apocalyptic number.

16430554272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16430554272 is an abundant number, since it is smaller than the sum of its proper divisors (30620581440).

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

16430554272 is a wasteful number, since it uses less digits than its factorization.

16430554272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15559261 (or 15559253 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 16430554272 in words is "sixteen billion, four hundred thirty million, five hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 15559237 31118474 46677711 62236948 93355422 124473896 171151607 186710844 248947792 342303214 373421688 497895584 513454821 684606428 746843376 1026909642 1369212856 1493686752 2053819284 2738425712 4107638568 5476851424 8215277136 16430554272