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4052855191248 = 243317709778363
BaseRepresentation
bin111010111110100000111…
…111100111011011010000
3112100110010110001121122000
4322332200333213123100
51012400221412104443
612341504520114000
7565544346502443
oct72764077473320
915313113047560
104052855191248
111322896109106
12555579005900
1323524b24a926
14100232d3d65a
157065633c8d3
hex3afa0fe76d0

4052855191248 has 160 divisors (see below), whose sum is σ = 12334889980800. Its totient is φ = 1269689001984.

The previous prime is 4052855191247. The next prime is 4052855191277. The reversal of 4052855191248 is 8421915582504.

It is a happy number.

4052855191248 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 85 + 519 + 1 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4052855191194 and 4052855191203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4052855191247) 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, 4817715 + ... + 5596077.

It is an arithmetic number, because the mean of its divisors is an integer number (77093062380).

Almost surely, 24052855191248 is an apocalyptic number.

4052855191248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4052855191248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6167444990400).

4052855191248 is an abundant number, since it is smaller than the sum of its proper divisors (8282034789552).

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

4052855191248 is a wasteful number, since it uses less digits than its factorization.

4052855191248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779106 (or 779094 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 4052855191248 in words is "four trillion, fifty-two billion, eight hundred fifty-five million, one hundred ninety-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 709 816 918 1224 1418 1836 2127 2448 2836 3672 4254 5672 6381 7344 8508 11344 12053 12762 17016 19143 24106 25524 34032 36159 38286 48212 51048 72318 76572 96424 102096 108477 144636 153144 192848 216954 289272 306288 325431 433908 578544 650862 778363 867816 1301724 1556726 1735632 2335089 2603448 3113452 4670178 5206896 6226904 7005267 9340356 12453808 13232171 14010534 18680712 21015801 26464342 28021068 37361424 39696513 42031602 52928684 56042136 79393026 84063204 105857368 112084272 119089539 158786052 168126408 211714736 238179078 317572104 336252816 357268617 476358156 551859367 635144208 714537234 952716312 1103718734 1429074468 1655578101 1905432624 2207437468 2858148936 3311156202 4414874936 4966734303 5716297872 6622312404 8829749872 9381609239 9933468606 13244624808 14900202909 18763218478 19866937212 26489249616 28144827717 29800405818 37526436956 39733874424 56289655434 59600811636 75052873912 79467748848 84434483151 112579310868 119201623272 150105747824 168868966302 225158621736 238403246544 253303449453 337737932604 450317243472 506606898906 675475865208 1013213797812 1350951730416 2026427595624 4052855191248