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2263125130064 = 24414721561741
BaseRepresentation
bin100000111011101100110…
…001001111101101010000
322000100112002012101201122
4200323230301033231100
5244034340013130224
64451355413421412
7322335231131111
oct40735461175520
98010462171648
102263125130064
117a2871155567
1230673803a868
131355478c6bc6
147b7704c0208
153dd0821415e
hex20eecc4fb50

2263125130064 has 60 divisors (see below), whose sum is σ = 4589356905588. Its totient is φ = 1080474201600.

The previous prime is 2263125130061. The next prime is 2263125130151. The reversal of 2263125130064 is 4600315213622.

2263125130064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 980115840064 + 1283009290000 = 990008^2 + 1132700^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263125130061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 668234 + ... + 2229974.

Almost surely, 22263125130064 is an apocalyptic number.

It is an amenable number.

2263125130064 is an abundant number, since it is smaller than the sum of its proper divisors (2326231775524).

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

2263125130064 is a wasteful number, since it uses less digits than its factorization.

2263125130064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561884 (or 1561831 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 2263125130064 in words is "two trillion, two hundred sixty-three billion, one hundred twenty-five million, one hundred thirty thousand, sixty-four".

Divisors: 1 2 4 8 16 41 47 82 94 164 188 328 376 656 752 1927 2209 3854 4418 7708 8836 15416 17672 30832 35344 90569 181138 362276 724552 1449104 1561741 3123482 6246964 12493928 24987856 64031381 73401827 128062762 146803654 256125524 293607308 512251048 587214616 1024502096 1174429232 3009474907 3449885869 6018949814 6899771738 12037899628 13799543476 24075799256 27599086952 48151598512 55198173904 141445320629 282890641258 565781282516 1131562565032 2263125130064