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211015297872 = 243268310312081
BaseRepresentation
bin1100010010000101111…
…1011110101101010000
3202011200000111210110200
43010201133132231100
511424124404012442
6240534502055200
721150104303031
oct3044137365520
9664600453420
10211015297872
11815446a8565
1234a9071a500
1316b8b471902
14a2db014a88
15575053634c
hex31217deb50

211015297872 has 120 divisors (see below), whose sum is σ = 592272502848. Its totient is φ = 70133606400.

The previous prime is 211015297861. The next prime is 211015297937. The reversal of 211015297872 is 278792510112.

211015297872 is a `hidden beast` number, since 2 + 110 + 1 + 529 + 7 + 8 + 7 + 2 = 666.

211015297872 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 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 23 ways as a sum of consecutive naturals, for example, 101399872 + ... + 101401952.

Almost surely, 2211015297872 is an apocalyptic number.

It is an amenable number.

211015297872 is an abundant number, since it is smaller than the sum of its proper divisors (381257204976).

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

211015297872 is a wasteful number, since it uses less digits than its factorization.

211015297872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3809 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 211015297872 in words is "two hundred eleven billion, fifteen million, two hundred ninety-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 683 1031 1366 2049 2062 2081 2732 3093 4098 4124 4162 5464 6147 6186 6243 8196 8248 8324 9279 10928 12294 12372 12486 16392 16496 16648 18558 18729 24588 24744 24972 32784 33296 37116 37458 49176 49488 49944 74232 74916 98352 99888 148464 149832 299664 704173 1408346 1421323 2112519 2145511 2816692 2842646 4225038 4263969 4291022 5633384 5685292 6337557 6436533 8450076 8527938 8582044 11266768 11370584 12675114 12791907 12873066 16900152 17055876 17164088 19309599 22741168 25350228 25583814 25746132 33800304 34111752 34328176 38619198 50700456 51167628 51492264 68223504 77238396 101400912 102335256 102984528 154476792 204670512 308953584 1465384013 2930768026 4396152039 5861536052 8792304078 11723072104 13188456117 17584608156 23446144208 26376912234 35169216312 52753824468 70338432624 105507648936 211015297872