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42451545084 = 223131077973191
BaseRepresentation
bin100111100010010011…
…110010101111111100
311001120112001221010120
4213202103302233330
51143420043420314
631300231534540
73031663115364
oct474223625774
9131515057116
1042451545084
1117004877163
128288b2a450
134006c47960
1420aa0079a4
151186d408a9
hex9e24f2bfc

42451545084 has 96 divisors (see below), whose sum is σ = 107838936576. Its totient is φ = 12919653120.

The previous prime is 42451545043. The next prime is 42451545089. The reversal of 42451545084 is 48054515424.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42451545089) 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, 13301929 + ... + 13305119.

It is an arithmetic number, because the mean of its divisors is an integer number (1123322256).

Almost surely, 242451545084 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 42451545084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53919468288).

42451545084 is an abundant number, since it is smaller than the sum of its proper divisors (65387391492).

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

42451545084 is a wasteful number, since it uses less digits than its factorization.

42451545084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 42.

The spelling of 42451545084 in words is "forty-two billion, four hundred fifty-one million, five hundred forty-five thousand, eighty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 107 156 214 321 428 642 797 1284 1391 1594 2391 2782 3188 3191 4173 4782 5564 6382 8346 9564 9573 10361 12764 16692 19146 20722 31083 38292 41444 41483 62166 82966 85279 124332 124449 165932 170558 248898 255837 341116 341437 497796 511674 682874 1023348 1024311 1108627 1365748 2048622 2217254 2543227 3325881 4097244 4434508 4438681 5086454 6651762 7629681 8877362 10172908 13303524 13316043 15259362 17754724 26632086 30518724 33061951 53264172 66123902 99185853 132247804 198371706 272125289 396743412 544250578 816375867 1088501156 1632751734 3265503468 3537628757 7075257514 10612886271 14150515028 21225772542 42451545084