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211257344808 = 2334326014421
BaseRepresentation
bin1100010010111111101…
…0110100001100101000
3202012021212222001110000
43010233322310030220
511430123340013213
6241014510023000
721156103542156
oct3045772641450
9665255861400
10211257344808
1181659299a54
1234b397a7a60
1316bc965b353
14a3212203d6
1557668e8c73
hex312feb4328

211257344808 has 40 divisors (see below), whose sum is σ = 591716175930. Its totient is φ = 70419114720.

The previous prime is 211257344791. The next prime is 211257344843. The reversal of 211257344808 is 808443752112.

211257344808 is a `hidden beast` number, since 2 + 112 + 57 + 3 + 4 + 480 + 8 = 666.

211257344808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 180134034084 + 31123310724 = 424422^2 + 176418^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 163006563 + ... + 163007858.

Almost surely, 2211257344808 is an apocalyptic number.

It is an amenable number.

211257344808 is an abundant number, since it is smaller than the sum of its proper divisors (380458831122).

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

211257344808 is a wasteful number, since it uses less digits than its factorization.

211257344808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326014439 (or 326014426 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 211257344808 in words is "two hundred eleven billion, two hundred fifty-seven million, three hundred forty-four thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 326014421 652028842 978043263 1304057684 1956086526 2608115368 2934129789 3912173052 5868259578 7824346104 8802389367 11736519156 17604778734 23473038312 26407168101 35209557468 52814336202 70419114936 105628672404 211257344808