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264137482752 = 29311131202549
BaseRepresentation
bin1111010111111111010…
…0100010001000000000
3221020210012021101120120
43311333310202020000
513311423143422002
6321202034540240
725040400362433
oct3657764421000
9836705241516
10264137482752
11a20247a52a0
1243237137680
131bba60063c0
14cada27581a
156d0e057cbc
hex3d7fd22200

264137482752 has 160 divisors (see below), whose sum is σ = 826700212800. Its totient is φ = 73884549120.

The previous prime is 264137482747. The next prime is 264137482753. The reversal of 264137482752 is 257284731462.

264137482752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 264137482695 and 264137482704.

It is not an unprimeable number, because it can be changed into a prime (264137482753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381627 + ... + 820922.

It is an arithmetic number, because the mean of its divisors is an integer number (5166876330).

Almost surely, 2264137482752 is an apocalyptic number.

264137482752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

264137482752 is an abundant number, since it is smaller than the sum of its proper divisors (562562730048).

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

264137482752 is a wasteful number, since it uses less digits than its factorization.

264137482752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202594 (or 1202578 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 51.

The spelling of 264137482752 in words is "two hundred sixty-four billion, one hundred thirty-seven million, four hundred eighty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 256 264 286 312 352 384 416 429 512 528 572 624 704 768 832 858 1056 1144 1248 1408 1536 1664 1716 2112 2288 2496 2816 3328 3432 4224 4576 4992 5632 6656 6864 8448 9152 9984 13728 16896 18304 19968 27456 36608 54912 73216 109824 219648 1202549 2405098 3607647 4810196 7215294 9620392 13228039 14430588 15633137 19240784 26456078 28861176 31266274 38481568 39684117 46899411 52912156 57722352 62532548 76963136 79368234 93798822 105824312 115444704 125065096 153926272 158736468 171964507 187597644 211648624 230889408 250130192 307852544 317472936 343929014 375195288 423297248 461778816 500260384 515893521 615705088 634945872 687858028 750390576 846594496 923557632 1000520768 1031787042 1269891744 1375716056 1500781152 1693188992 1847115264 2001041536 2063574084 2539783488 2751432112 3001562304 3386377984 4002083072 4127148168 5079566976 5502864224 6003124608 6772755968 8004166144 8254296336 10159133952 11005728448 12006249216 16508592672 20318267904 22011456896 24012498432 33017185344 44022913792 66034370688 88045827584 132068741376 264137482752