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213727687956 = 2232231033724971
BaseRepresentation
bin1100011100001100101…
…0011011010100010100
3202102200001100111011200
43013003022123110110
512000203242003311
6242103554032500
721304241241606
oct3070312332424
9672601314150
10213727687956
1182706787362
1235508b78730
13172013a5a63
14a4b7351176
15585d717556
hex31c329b514

213727687956 has 72 divisors (see below), whose sum is σ = 563822610624. Its totient is φ = 68135738880.

The previous prime is 213727687951. The next prime is 213727687961. The reversal of 213727687956 is 659786727312.

It is an interprime number because it is at equal distance from previous prime (213727687951) and next prime (213727687961).

It is a junction number, because it is equal to n+sod(n) for n = 213727687893 and 213727687902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213727687951) 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, 8546551 + ... + 8571521.

It is an arithmetic number, because the mean of its divisors is an integer number (7830869592).

Almost surely, 2213727687956 is an apocalyptic number.

It is an amenable number.

213727687956 is an abundant number, since it is smaller than the sum of its proper divisors (350094922668).

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

213727687956 is a wasteful number, since it uses less digits than its factorization.

213727687956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35341 (or 35336 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 63.

The spelling of 213727687956 in words is "two hundred thirteen billion, seven hundred twenty-seven million, six hundred eighty-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 10337 20674 24971 31011 41348 49942 62022 74913 93033 99884 124044 149826 186066 224739 237751 299652 372132 449478 475502 574333 713253 898956 951004 1148666 1426506 1722999 2139759 2297332 2853012 3445998 4279518 5168997 6891996 8559036 10337994 20675988 258125227 516250454 774375681 1032500908 1548751362 2323127043 3097502724 4646254086 5936880221 9292508172 11873760442 17810640663 23747520884 35621281326 53431921989 71242562652 106863843978 213727687956