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217068392464 = 24711595095867
BaseRepresentation
bin1100101000101001001…
…0001101000000010000
3202202021212110212020021
43022022102031000100
512024024002024324
6243415252553224
721453104615110
oct3121222150020
9682255425207
10217068392464
11840704a3080
123609b922814
131761453a4a1
14a712cc5040
1559a6b5aae4
hex328a48d010

217068392464 has 160 divisors (see below), whose sum is σ = 534372940800. Its totient is φ = 82961195520.

The previous prime is 217068392461. The next prime is 217068392591. The reversal of 217068392464 is 464293860712.

It is not an unprimeable number, because it can be changed into a prime (217068392461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36995259 + ... + 37001125.

It is an arithmetic number, because the mean of its divisors is an integer number (3339830880).

Almost surely, 2217068392464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217068392464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267186470400).

217068392464 is an abundant number, since it is smaller than the sum of its proper divisors (317304548336).

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

217068392464 is a wasteful number, since it uses less digits than its factorization.

217068392464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6461 (or 6455 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 217068392464 in words is "two hundred seventeen billion, sixty-eight million, three hundred ninety-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 59 77 88 112 118 154 176 236 308 413 472 509 616 649 826 944 1018 1232 1298 1652 2036 2596 3304 3563 4072 4543 5192 5599 5867 6608 7126 8144 9086 10384 11198 11734 14252 18172 22396 23468 28504 30031 36344 39193 41069 44792 46936 57008 60062 64537 72688 78386 82138 89584 93872 120124 129074 156772 164276 210217 240248 258148 313544 328552 330341 346153 420434 451759 480496 516296 627088 657104 660682 692306 840868 903518 1032592 1321364 1384612 1681736 1807036 2312387 2423071 2642728 2769224 2986303 3363472 3614072 3807683 4624774 4846142 5285456 5538448 5972606 7228144 7615366 9249548 9692284 11945212 15230732 18499096 19384568 20904121 23890424 26653781 30461464 32849333 36998192 38769136 41808242 47780848 53307562 60922928 65698666 83616484 106615124 131397332 167232968 176191877 213230248 229945331 262794664 334465936 352383754 426460496 459890662 525589328 704767508 919781324 1233343139 1409535016 1839562648 1938110647 2466686278 2819070032 3679125296 3876221294 4933372556 7752442588 9866745112 13566774529 15504885176 19733490224 27133549058 31009770352 54267098116 108534196232 217068392464