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211612466320 = 2452645155829
BaseRepresentation
bin1100010100010100010…
…1011111110010010000
3202020012122012002120121
43011011011133302100
511431340242410240
6241114033320024
721200645166643
oct3050505376220
9666178162517
10211612466320
11818207a2002
1235018706014
1316c550b8718
14a356461a5a
155787b9504a
hex314515fc90

211612466320 has 20 divisors (see below), whose sum is σ = 491998984380. Its totient is φ = 84644986496.

The previous prime is 211612466287. The next prime is 211612466323. The reversal of 211612466320 is 23664216112.

It can be written as a sum of positive squares in 2 ways, for example, as 157110762384 + 54501703936 = 396372^2 + 233456^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (211612466323) 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 3 ways as a sum of consecutive naturals, for example, 1322577835 + ... + 1322577994.

It is an arithmetic number, because the mean of its divisors is an integer number (24599949219).

Almost surely, 2211612466320 is an apocalyptic number.

211612466320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211612466320 is an abundant number, since it is smaller than the sum of its proper divisors (280386518060).

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

211612466320 is a wasteful number, since it uses less digits than its factorization.

211612466320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645155842 (or 2645155836 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 211612466320 in words is "two hundred eleven billion, six hundred twelve million, four hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2645155829 5290311658 10580623316 13225779145 21161246632 26451558290 42322493264 52903116580 105806233160 211612466320