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53442432032 = 25112412271483
BaseRepresentation
bin110001110001011010…
…101100110000100000
312002221111100211121112
4301301122230300200
51333422230311112
640315012442452
73601232114513
oct616132546040
9162844324545
1053442432032
1120734950200
12a435919428
135069001362
14282d9c4d7a
1515cbbcea22
hexc716acc20

53442432032 has 144 divisors (see below), whose sum is σ = 119072159136. Its totient is φ = 23579212800.

The previous prime is 53442432031. The next prime is 53442432053. The reversal of 53442432032 is 23023424435.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 53442432032.

It is not an unprimeable number, because it can be changed into a prime (53442432031) 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, 36035963 + ... + 36037445.

It is an arithmetic number, because the mean of its divisors is an integer number (826889994).

Almost surely, 253442432032 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 53442432032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59536079568).

53442432032 is an abundant number, since it is smaller than the sum of its proper divisors (65629727104).

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

53442432032 is a wasteful number, since it uses less digits than its factorization.

53442432032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 32.

Adding to 53442432032 its reverse (23023424435), we get a palindrome (76465856467).

The spelling of 53442432032 in words is "fifty-three billion, four hundred forty-two million, four hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 121 164 176 227 242 328 352 451 454 484 656 902 908 968 1312 1483 1804 1816 1936 2497 2966 3608 3632 3872 4961 4994 5932 7216 7264 9307 9922 9988 11864 14432 16313 18614 19844 19976 23728 27467 32626 37228 39688 39952 47456 54934 60803 65252 74456 79376 79904 102377 109868 121606 130504 148912 158752 179443 204754 219736 243212 261008 297824 336641 358886 409508 439472 486424 522016 668833 673282 717772 819016 878944 972848 1126147 1337666 1346564 1435544 1638032 1945696 2252294 2675332 2693128 2871088 3276064 3703051 4504588 5350664 5386256 5742176 7357163 7406102 9009176 10701328 10772512 13802281 14714326 14812204 18018352 21402656 27604562 29428652 29624408 36036704 40733561 55209124 58857304 59248816 81467122 110418248 117714608 118497632 151825091 162934244 220836496 235429216 303650182 325868488 441672992 607300364 651736976 1214600728 1303473952 1670076001 2429201456 3340152002 4858402912 6680304004 13360608008 26721216016 53442432032