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16453105470720 = 283251428220961
BaseRepresentation
bin1110111101101100100110…
…0000011100110100000000
32011020220100012122121022100
43233123021200130310000
54124031430000030340
654554241410510400
73315461201663652
oct357331140346400
964226305577270
1016453105470720
1152737a5119a46
121a1887b895400
139246a10884b9
1440c4980306d2
151d7eb2ae3830
hexef6c981cd00

16453105470720 has 108 divisors (see below), whose sum is σ = 56926031103396. Its totient is φ = 4387494789120.

The previous prime is 16453105470643. The next prime is 16453105470731. The reversal of 16453105470720 is 2707450135461.

16453105470720 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 3 + 105 + 470 + 72 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3474436352256 + 12978669118464 = 1863984^2 + 3602592^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 714098961 + ... + 714122000.

It is an arithmetic number, because the mean of its divisors is an integer number (527092880587).

Almost surely, 216453105470720 is an apocalyptic number.

16453105470720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16453105470720 is an abundant number, since it is smaller than the sum of its proper divisors (40472925632676).

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

16453105470720 is a wasteful number, since it uses less digits than its factorization.

16453105470720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428220988 (or 1428220971 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 16453105470720 in words is "sixteen trillion, four hundred fifty-three billion, one hundred five million, four hundred seventy thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 1428220961 2856441922 4284662883 5712883844 7141104805 8569325766 11425767688 12853988649 14282209610 17138651532 21423314415 22851535376 25707977298 28564419220 34277303064 42846628830 45703070752 51415954596 57128838440 64269943245 68554606128 85693257660 91406141504 102831909192 114257676880 128539886490 137109212256 171386515320 182812283008 205663818384 228515353760 257079772980 274218424512 342773030640 365624566016 411327636768 457030707520 514159545960 548436849024 685546061280 822655273536 914061415040 1028319091920 1096873698048 1371092122560 1645310547072 1828122830080 2056638183840 2742184245120 3290621094144 4113276367680 5484368490240 8226552735360 16453105470720