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211842095652 = 2232114312440809
BaseRepresentation
bin1100010101001011000…
…1011101101000100100
3202020210122021110210200
43011102301131220210
511432323034030102
6241152515150500
721206434050135
oct3052261355044
9666718243720
10211842095652
1181929381a10
12350815a5430
1316c90848075
14a378b57c8c
15579ce0351c
hex3152c5da24

211842095652 has 72 divisors (see below), whose sum is σ = 597756038880. Its totient is φ = 62701672320.

The previous prime is 211842095651. The next prime is 211842095671. The reversal of 211842095652 is 256590248112.

211842095652 is a `hidden beast` number, since 2 + 1 + 1 + 84 + 2 + 0 + 9 + 565 + 2 = 666.

It is a super-2 number, since 2×2118420956522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211842095598 and 211842095607.

It is not an unprimeable number, because it can be changed into a prime (211842095651) 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 23 ways as a sum of consecutive naturals, for example, 6203377 + ... + 6237432.

Almost surely, 2211842095652 is an apocalyptic number.

211842095652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211842095652 is an abundant number, since it is smaller than the sum of its proper divisors (385913943228).

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

211842095652 is a wasteful number, since it uses less digits than its factorization.

211842095652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12440873 (or 12440868 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 211842095652 in words is "two hundred eleven billion, eight hundred forty-two million, ninety-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 473 516 774 946 1419 1548 1892 2838 4257 5676 8514 17028 12440809 24881618 37322427 49763236 74644854 111967281 136848899 149289708 223934562 273697798 410546697 447869124 534954787 547395596 821093394 1069909574 1231640091 1604864361 1642186788 2139819148 2463280182 3209728722 4814593083 4926560364 5884502657 6419457444 9629186166 11769005314 17653507971 19258372332 23538010628 35307015942 52960523913 70614031884 105921047826 211842095652