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211362342642 = 232111847577957
BaseRepresentation
bin1100010011011000101…
…1010110011011110010
3202012120012112111101200
43010312023112123302
511430332224431032
6241033140312030
721161520161253
oct3046613263362
9665505474350
10211362342642
1181702594420
1234b689a2616
1316c15331949
14a331152b2a
155770c3947c
hex31362d66f2

211362342642 has 48 divisors (see below), whose sum is σ = 499855067712. Its totient is φ = 64014406560.

The previous prime is 211362342641. The next prime is 211362342739. The reversal of 211362342642 is 246243263112.

211362342642 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 6 + 2 + 3 + 4 + 2 + 642 = 666.

It is a super-2 number, since 2×2113623426422 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211362342597 and 211362342606.

It is not an unprimeable number, because it can be changed into a prime (211362342641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76728 + ... + 654684.

It is an arithmetic number, because the mean of its divisors is an integer number (10413647244).

Almost surely, 2211362342642 is an apocalyptic number.

211362342642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211362342642 is an abundant number, since it is smaller than the sum of its proper divisors (288492725070).

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

211362342642 is a wasteful number, since it uses less digits than its factorization.

211362342642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579823 (or 579820 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 211362342642 in words is "two hundred eleven billion, three hundred sixty-two million, three hundred forty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1847 3694 5541 11082 16623 20317 33246 40634 60951 121902 182853 365706 577957 1155914 1733871 3467742 5201613 6357527 10403226 12715054 19072581 38145162 57217743 114435486 1067486579 2134973158 3202459737 6404919474 9607379211 11742352369 19214758422 23484704738 35227057107 70454114214 105681171321 211362342642