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422316518904 = 23347911102199
BaseRepresentation
bin1100010010101000000…
…01101010110111111000
31111101001222000222210000
412021110001222313320
523404401012101104
6522002020353000
742340253116230
oct6112401526770
91441058028700
10422316518904
11153115735355
1269a20b45760
1330a93c22c07
1416623db6cc0
15aebabea639
hex625406adf8

422316518904 has 160 divisors (see below), whose sum is σ = 1353356928000. Its totient is φ = 120528233280.

The previous prime is 422316518863. The next prime is 422316518947. The reversal of 422316518904 is 409815613224.

422316518904 is a `hidden beast` number, since 42 + 2 + 3 + 1 + 6 + 518 + 90 + 4 = 666.

It is a super-2 number, since 2×4223165189042 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 422316518904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4081197 + ... + 4183395.

It is an arithmetic number, because the mean of its divisors is an integer number (8458480800).

Almost surely, 2422316518904 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 422316518904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676678464000).

422316518904 is an abundant number, since it is smaller than the sum of its proper divisors (931040409096).

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

422316518904 is a wasteful number, since it uses less digits than its factorization.

422316518904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103135 (or 103122 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 422316518904 in words is "four hundred twenty-two billion, three hundred sixteen million, five hundred eighteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 911 1134 1512 1822 2268 2733 3644 4536 5466 6377 7288 8199 10932 12754 16398 19131 21864 24597 25508 32796 38262 49194 51016 57393 65592 73791 76524 98388 102199 114786 147582 153048 172179 196776 204398 229572 295164 306597 344358 408796 459144 516537 590328 613194 688716 715393 817592 919791 1033074 1226388 1377432 1430786 1839582 2066148 2146179 2452776 2759373 2861572 3679164 4132296 4292358 5518746 5723144 6438537 7358328 8278119 8584716 11037492 12877074 16556238 17169432 19315611 22074984 25754148 33112476 38631222 51508296 57946833 66224952 77262444 93103289 115893666 154524888 186206578 231787332 279309867 372413156 463574664 558619734 651723023 744826312 837929601 1117239468 1303446046 1675859202 1955169069 2234478936 2513788803 2606892092 3351718404 3910338138 5027577606 5213784184 5865507207 6703436808 7541366409 7820676276 10055155212 11731014414 15082732818 15641352552 17596521621 20110310424 23462028828 30165465636 35193043242 46924057656 52789564863 60330931272 70386086484 105579129726 140772172968 211158259452 422316518904