Search a number
-
+
63925811712480 = 253517219831072731
BaseRepresentation
bin11101000100011111000110…
…10011001001000111100000
322101100020200201201201122210
432202033203103021013200
531334330030244244410
6343543040144002120
716315326131052234
oct1642174323110740
9271306621651583
1063925811712480
111940686a195263
127205301000340
1329892415c4a33
1411b0050ad65c4
1575cccc8d3220
hex3a23e34c91e0

63925811712480 has 1152 divisors, whose sum is σ = 230093260830720. Its totient is φ = 14870779822080.

The previous prime is 63925811712439. The next prime is 63925811712517. The reversal of 63925811712480 is 8421711852936.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 63925811712480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23407472715 + ... + 23407475445.

It is an arithmetic number, because the mean of its divisors is an integer number (199733733360).

It is a 2-persistent number, because it is pandigital, and so is 2⋅63925811712480 = 127851623424960, but 3⋅63925811712480 = 191777435137440 is not.

Almost surely, 263925811712480 is an apocalyptic number.

63925811712480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63925811712480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115046630415360).

63925811712480 is an abundant number, since it is smaller than the sum of its proper divisors (166167449118240).

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

63925811712480 is a wasteful number, since it uses less digits than its factorization.

63925811712480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 63925811712480 in words is "sixty-three trillion, nine hundred twenty-five billion, eight hundred eleven million, seven hundred twelve thousand, four hundred eighty".