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4427135341704 = 2332197361786293
BaseRepresentation
bin100000001101100010111…
…0101000101010010001000
3120200020012200012020212200
41000123011311011102020
51040013233121413304
613225444202440200
7634564353336405
oct100330565052210
916606180166780
104427135341704
1114575a05378a9
125b6012803060
1326162818358a
141143bb2d52ac
157a25ec6ee39
hex406c5d45488

4427135341704 has 96 divisors (see below), whose sum is σ = 12054493428120. Its totient is φ = 1467797925888.

The previous prime is 4427135341669. The next prime is 4427135341709. The reversal of 4427135341704 is 4071435317244.

4427135341704 is a `hidden beast` number, since 4 + 4 + 271 + 35 + 341 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2256610848804 + 2170524492900 = 1502202^2 + 1473270^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4427135341704.

It is not an unprimeable number, because it can be changed into a prime (4427135341709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51260382 + ... + 51346674.

Almost surely, 24427135341704 is an apocalyptic number.

It is an amenable number.

4427135341704 is an abundant number, since it is smaller than the sum of its proper divisors (7627358086416).

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

4427135341704 is a wasteful number, since it uses less digits than its factorization.

4427135341704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90119 (or 90112 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 4427135341704 in words is "four trillion, four hundred twenty-seven billion, one hundred thirty-five million, three hundred forty-one thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 197 394 591 788 1182 1576 1773 2364 3546 3617 4728 7092 7234 10851 14184 14468 21702 28936 32553 43404 65106 86293 86808 130212 172586 258879 260424 345172 517758 690344 712549 776637 1035516 1425098 1553274 2071032 2137647 2850196 3106548 4275294 5700392 6213096 6412941 8550588 12825882 16999721 17101176 25651764 33999442 50999163 51303528 67998884 101998326 135997768 152997489 203996652 305994978 312121781 407993304 611989956 624243562 936365343 1223979912 1248487124 1872730686 2496974248 2809096029 3745461372 5618192058 7490922744 11236384116 22472768232 61487990857 122975981714 184463972571 245951963428 368927945142 491903926856 553391917713 737855890284 1106783835426 1475711780568 2213567670852 4427135341704