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212769539664 = 243111932087941
BaseRepresentation
bin1100011000101000001…
…1011000011001010000
3202100012021102111210220
43012022003120121100
511441223000232124
6241424525353040
721241425150423
oct3061203303120
9670167374726
10212769539664
1182264949370
12352a0108780
13170aaa301c6
14a425db99ba
155804551879
hex318a0d8650

212769539664 has 80 divisors (see below), whose sum is σ = 602730393024. Its totient is φ = 64141516800.

The previous prime is 212769539651. The next prime is 212769539669. The reversal of 212769539664 is 466935967212.

212769539664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212769539598 and 212769539607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212769539669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 942067 + ... + 1145874.

Almost surely, 2212769539664 is an apocalyptic number.

212769539664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212769539664 is an abundant number, since it is smaller than the sum of its proper divisors (389960853360).

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

212769539664 is a wasteful number, since it uses less digits than its factorization.

212769539664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088156 (or 2088150 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 60.

The spelling of 212769539664 in words is "two hundred twelve billion, seven hundred sixty-nine million, five hundred thirty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 193 264 386 528 579 772 1158 1544 2123 2316 3088 4246 4632 6369 8492 9264 12738 16984 25476 33968 50952 101904 2087941 4175882 6263823 8351764 12527646 16703528 22967351 25055292 33407056 45934702 50110584 68902053 91869404 100221168 137804106 183738808 275608212 367477616 402972613 551216424 805945226 1102432848 1208917839 1611890452 2417835678 3223780904 4432698743 4835671356 6447561808 8865397486 9671342712 13298096229 17730794972 19342685424 26596192458 35461589944 53192384916 70923179888 106384769832 212769539664