Search a number
-
+
16028207920080 = 2432553420026413
BaseRepresentation
bin1110100100111101101110…
…1000111011001111010000
32002202021121100221121121100
43221033123220323033100
54100101232211420310
654031131305424400
73242666635254516
oct351173350731720
962667540847540
1016028207920080
11511a585575314
12196a45a49b100
138c35b8504295
143d5aab3524b6
151cbde5512ec0
hexe93dba3b3d0

16028207920080 has 120 divisors (see below), whose sum is σ = 54843688928808. Its totient is φ = 4193543697408.

The previous prime is 16028207920073. The next prime is 16028207920111. The reversal of 16028207920080 is 8002970282061.

16028207920080 is a `hidden beast` number, since 160 + 2 + 8 + 207 + 9 + 200 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8149677495696 + 7878530424384 = 2854764^2 + 2806872^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 209975047 + ... + 210051366.

Almost surely, 216028207920080 is an apocalyptic number.

16028207920080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16028207920080 is an abundant number, since it is smaller than the sum of its proper divisors (38815481008728).

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

16028207920080 is a wasteful number, since it uses less digits than its factorization.

16028207920080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420026485 (or 420026476 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 16028207920080 in words is "sixteen trillion, twenty-eight billion, two hundred seven million, nine hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 53 60 72 80 90 106 120 144 159 180 212 240 265 318 360 424 477 530 636 720 795 848 954 1060 1272 1590 1908 2120 2385 2544 3180 3816 4240 4770 6360 7632 9540 12720 19080 38160 420026413 840052826 1260079239 1680105652 2100132065 2520158478 3360211304 3780237717 4200264130 5040316956 6300396195 6720422608 7560475434 8400528260 10080633912 12600792390 15120950868 16801056520 18901188585 20161267824 22261399889 25201584780 30241901736 33602113040 37802377170 44522799778 50403169560 60483803472 66784199667 75604754340 89045599556 100806339120 111306999445 133568399334 151209508680 178091199112 200352599001 222613998890 267136798668 302419017360 333920998335 356182398224 400705198002 445227997780 534273597336 667841996670 801410396004 890455995560 1001762995005 1068547194672 1335683993340 1602820792008 1780911991120 2003525990010 2671367986680 3205641584016 4007051980020 5342735973360 8014103960040 16028207920080