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211997805696 = 27321024717959
BaseRepresentation
bin1100010101110000001…
…1011100110010000000
3202021012111021100211100
43011130003130302000
511433132414240241
6241220200414400
721213334421235
oct3053403346200
9667174240740
10211997805696
11819a92641a6
1235105777400
1316cb6b95ca1
14a3916cb78c
1557ab90e9b6
hex315c0dcc80

211997805696 has 96 divisors (see below), whose sum is σ = 610139275200. Its totient is φ = 70655104512.

The previous prime is 211997805689. The next prime is 211997805697. The reversal of 211997805696 is 696508799112.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (211997805697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11795565 + ... + 11813523.

It is an arithmetic number, because the mean of its divisors is an integer number (6355617450).

Almost surely, 2211997805696 is an apocalyptic number.

It is an amenable number.

211997805696 is an abundant number, since it is smaller than the sum of its proper divisors (398141469504).

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

211997805696 is a wasteful number, since it uses less digits than its factorization.

211997805696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28226 (or 28211 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 211997805696 in words is "two hundred eleven billion, nine hundred ninety-seven million, eight hundred five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 10247 17959 20494 30741 35918 40988 53877 61482 71836 81976 92223 107754 122964 143672 161631 163952 184446 215508 245928 287344 323262 327904 368892 431016 491856 574688 646524 655808 737784 862032 983712 1149376 1293048 1311616 1475568 1724064 1967424 2298752 2586096 2951136 3448128 3934848 5172192 5902272 6896256 10344384 11804544 20688768 184025873 368051746 552077619 736103492 1104155238 1472206984 1656232857 2208310476 2944413968 3312465714 4416620952 5888827936 6624931428 8833241904 11777655872 13249862856 17666483808 23555311744 26499725712 35332967616 52999451424 70665935232 105998902848 211997805696