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53524142244 = 223241733891277
BaseRepresentation
bin110001110110010010…
…011001100010100100
312010011012010010221200
4301312102121202210
51334104140022434
640331052042500
73603243462636
oct616622314244
9163135103850
1053524142244
1120776a8a301
12a459163430
13507cc0ccb1
14283a7b4a56
1515d3e70199
hexc764998a4

53524142244 has 144 divisors (see below), whose sum is σ = 140967131760. Its totient is φ = 17110241280.

The previous prime is 53524142227. The next prime is 53524142263. The reversal of 53524142244 is 44224142535.

53524142244 is a `hidden beast` number, since 53 + 524 + 1 + 42 + 2 + 44 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4898600100 + 48625542144 = 69990^2 + 220512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53524142199 and 53524142208.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41913334 + ... + 41914610.

It is an arithmetic number, because the mean of its divisors is an integer number (978938415).

Almost surely, 253524142244 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 53524142244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70483565880).

53524142244 is an abundant number, since it is smaller than the sum of its proper divisors (87442989516).

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

53524142244 is a wasteful number, since it uses less digits than its factorization.

53524142244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1785 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

Adding to 53524142244 its reverse (44224142535), we get a palindrome (97748284779).

The spelling of 53524142244 in words is "fifty-three billion, five hundred twenty-four million, one hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 73 82 123 146 164 219 246 292 369 389 438 492 657 738 778 876 1167 1277 1314 1476 1556 2334 2554 2628 2993 3501 3831 4668 5108 5986 7002 7662 8979 11493 11972 14004 15324 15949 17958 22986 26937 28397 31898 35916 45972 47847 52357 53874 56794 63796 85191 93221 95694 104714 107748 113588 143541 157071 170382 186442 191388 209428 255573 279663 287082 314142 340764 372884 471213 496753 511146 559326 574164 628284 838989 942426 993506 1022292 1118652 1164277 1490259 1677978 1884852 1987012 2328554 2980518 3355956 3492831 3822061 4470777 4657108 5961036 6985662 7644122 8941554 10478493 11466183 13971324 15288244 17883108 20366873 20956986 22932366 34398549 36262969 40733746 41913972 45864732 61100619 68797098 72525938 81467492 108788907 122201238 137594196 145051876 183301857 217577814 244402476 326366721 366603714 435155628 652733442 733207428 1305466884 1486781729 2973563458 4460345187 5947126916 8920690374 13381035561 17841380748 26762071122 53524142244