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214200046479480 = 23358321506028763
BaseRepresentation
bin110000101101000001010101…
…101011100110100001111000
31001002102022202112022002200120
4300231001111223212201320
5211033423143344320410
62035322050510533240
763055304556005025
oct6055012553464170
91032368675262616
10214200046479480
1162283803065926
12200354a2207220
139269c93056b39
143ac74a23d254c
1519b6c7c543570
hexc2d055ae6878

214200046479480 has 64 divisors (see below), whose sum is σ = 650342309823360. Its totient is φ = 56431819471488.

The previous prime is 214200046479451. The next prime is 214200046479571. The reversal of 214200046479480 is 84974640002412.

It is a super-2 number, since 2×2142000464794802 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10753004422 + ... + 10753024341.

It is an arithmetic number, because the mean of its divisors is an integer number (10161598590990).

Almost surely, 2214200046479480 is an apocalyptic number.

214200046479480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214200046479480 is an abundant number, since it is smaller than the sum of its proper divisors (436142263343880).

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

214200046479480 is a wasteful number, since it uses less digits than its factorization.

214200046479480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21506028860 (or 21506028856 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 214200046479480 in words is "two hundred fourteen trillion, two hundred billion, forty-six million, four hundred seventy-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 21506028763 43012057526 64518086289 86024115052 107530143815 129036172578 172048230104 215060287630 258072345156 322590431445 430120575260 516144690312 645180862890 860241150520 1290361725780 1785000387329 2580723451560 3570000774658 5355001161987 7140001549316 8925001936645 10710002323974 14280003098632 17850003873290 21420004647948 26775005809935 35700007746580 42840009295896 53550011619870 71400015493160 107100023239740 214200046479480