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52025854787568 = 24322386287182047
BaseRepresentation
bin10111101010001001101101…
…00101111111111111110000
320211012121211021100102000200
423311010312211333333300
523304342422311200233
6302352203040115200
713646513116121454
oct1365046645777760
9224177737312020
1052025854787568
111563904a797502
125a02b61605b00
13230502b616ccc
14cbc0c9b8c664
156034a28aa313
hex2f513697fff0

52025854787568 has 120 divisors (see below), whose sum is σ = 151933171273728. Its totient is φ = 16587670340736.

The previous prime is 52025854787551. The next prime is 52025854787611. The reversal of 52025854787568 is 86578745852025.

52025854787568 is a `hidden beast` number, since 5 + 2 + 0 + 2 + 5 + 8 + 54 + 7 + 8 + 7 + 568 = 666.

It is a super-2 number, since 2×520258547875682 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 52025854787496 and 52025854787505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285691521 + ... + 285873567.

Almost surely, 252025854787568 is an apocalyptic number.

It is an amenable number.

52025854787568 is an abundant number, since it is smaller than the sum of its proper divisors (99907316486160).

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

52025854787568 is a wasteful number, since it uses less digits than its factorization.

52025854787568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268371 (or 268362 counting only the distinct ones).

The product of its (nonzero) digits is 1505280000, while the sum is 72.

The spelling of 52025854787568 in words is "fifty-two trillion, twenty-five billion, eight hundred fifty-four million, seven hundred eighty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 86287 172574 182047 258861 345148 364094 517722 546141 690296 728188 776583 1035444 1092282 1380592 1456376 1553166 1638423 1984601 2070888 2184564 2912752 3106332 3276846 3969202 4141776 4187081 4369128 5953803 6212664 6553692 7938404 8374162 8738256 11907606 12425328 12561243 13107384 15876808 16748324 17861409 23815212 25122486 26214768 31753616 33496648 35722818 37683729 47630424 50244972 66993296 71445636 75367458 95260848 100489944 142891272 150734916 200979888 285782544 301469832 602939664 15708289489 31416578978 47124868467 62833157956 94249736934 125666315912 141374605401 188499473868 251332631824 282749210802 361290658247 376998947736 565498421604 722581316494 753997895472 1083871974741 1130996843208 1445162632988 2167743949482 2261993686416 2890325265976 3251615924223 4335487898964 5780650531952 6503231848446 8670975797928 13006463696892 17341951595856 26012927393784 52025854787568