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211324085984 = 2511600352517
BaseRepresentation
bin1100010011001111100…
…1011010011011100000
3202012110112112212010102
43010303321122123200
511430242431222414
6241025252321532
721160544043644
oct3046371323340
9665415485112
10211324085984
1181692a34650
1234b580132a8
1316c0a42877b
14a32a034c24
15576c6cdede
hex3133e5a6e0

211324085984 has 24 divisors (see below), whose sum is σ = 453866503608. Its totient is φ = 96056402560.

The previous prime is 211324085981. The next prime is 211324086143. The reversal of 211324085984 is 489580423112.

211324085984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211324085981) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 300175907 + ... + 300176610.

It is an arithmetic number, because the mean of its divisors is an integer number (18911104317).

Almost surely, 2211324085984 is an apocalyptic number.

It is an amenable number.

211324085984 is an abundant number, since it is smaller than the sum of its proper divisors (242542417624).

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

211324085984 is a wasteful number, since it uses less digits than its factorization.

211324085984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600352538 (or 600352530 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 47.

The spelling of 211324085984 in words is "two hundred eleven billion, three hundred twenty-four million, eighty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 600352517 1200705034 2401410068 4802820136 6603877687 9605640272 13207755374 19211280544 26415510748 52831021496 105662042992 211324085984