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36314872537968 = 2434157178476019
BaseRepresentation
bin10000100000111001101110…
…00100111110001101110000
311202120200000220110112210000
420100130313010332031300
514224440324332203333
6205122453325310000
710435443252332043
oct1020346704761560
9152520026415700
1036314872537968
11106310619036a2
1240a6095405300
13173562990946b
148d7913602c5a
1542e976e58713
hex21073713e370

36314872537968 has 100 divisors (see below), whose sum is σ = 105775241061160. Its totient is φ = 12027855805056.

The previous prime is 36314872537963. The next prime is 36314872538033. The reversal of 36314872537968 is 86973527841363.

36314872537968 is a `hidden beast` number, since 3 + 6 + 3 + 1 + 4 + 87 + 2 + 537 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Leyland number of the form 1311 + 1113.

It is a junction number, because it is equal to n+sod(n) for n = 36314872537896 and 36314872537905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36314872537963) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 89034538 + ... + 89441481.

Almost surely, 236314872537968 is an apocalyptic number.

It is an amenable number.

36314872537968 is an abundant number, since it is smaller than the sum of its proper divisors (69460368523192).

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

36314872537968 is a wasteful number, since it uses less digits than its factorization.

36314872537968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178476196 (or 178476181 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 36314872537968 in words is "thirty-six trillion, three hundred fourteen billion, eight hundred seventy-two million, five hundred thirty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 157 162 216 314 324 432 471 628 648 942 1256 1296 1413 1884 2512 2826 3768 4239 5652 7536 8478 11304 12717 16956 22608 25434 33912 50868 67824 101736 203472 178476019 356952038 535428057 713904076 1070856114 1427808152 1606284171 2141712228 2855616304 3212568342 4283424456 4818852513 6425136684 8566848912 9637705026 12850273368 14456557539 19275410052 25700546736 28020734983 28913115078 38550820104 56041469966 57826230156 77101640208 84062204949 112082939932 115652460312 168124409898 224165879864 231304920624 252186614847 336248819796 448331759728 504373229694 672497639592 756559844541 1008746459388 1344995279184 1513119689082 2017492918776 2269679533623 3026239378164 4034985837552 4539359067246 6052478756328 9078718134492 12104957512656 18157436268984 36314872537968