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217131016674616 = 231164316092384911
BaseRepresentation
bin110001010111101011000001…
…000111100101110100111000
31001110210112002212210221210021
4301113223001013211310320
5211424433310232041431
62045444340110100224
763510125002416532
oct6127530107456470
91043715085727707
10217131016674616
11632038243564a0
12204295421aa674
1394204a0442355
143b892a94a2852
151a1812191bb11
hexc57ac11e5d38

217131016674616 has 64 divisors (see below), whose sum is σ = 445098988454400. Its totient is φ = 98481137990400.

The previous prime is 217131016674569. The next prime is 217131016674643. The reversal of 217131016674616 is 616476610131712.

217131016674616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89851201 + ... + 92236111.

It is an arithmetic number, because the mean of its divisors is an integer number (6954671694600).

Almost surely, 2217131016674616 is an apocalyptic number.

It is an amenable number.

217131016674616 is an abundant number, since it is smaller than the sum of its proper divisors (227967971779784).

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

217131016674616 is a wasteful number, since it uses less digits than its factorization.

217131016674616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387180 (or 2387176 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 217131016674616 in words is "two hundred seventeen trillion, one hundred thirty-one billion, sixteen million, six hundred seventy-four thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 22 44 88 643 1286 1609 2572 3218 5144 6436 7073 12872 14146 17699 28292 35398 56584 70796 141592 1034587 2069174 2384911 4138348 4769822 8276696 9539644 11380457 19079288 22760914 26234021 45521828 52468042 91043656 104936084 209872168 1533497773 3066995546 3837321799 6133991092 7674643598 12267982184 15349287196 16868475503 30698574392 33736951006 42210539789 67473902012 84421079578 134947804024 168842159156 337684318312 2467397916757 4934795833514 9869591667028 19739183334056 27141377084327 54282754168654 108565508337308 217131016674616