Search a number
-
+
63653252040 = 2332572191791061
BaseRepresentation
bin111011010010000001…
…111000101111001000
320002022002211020102100
4323102001320233020
52020330213031130
645124130033400
74412246500200
oct732201705710
9202262736370
1063653252040
1124aa4668424
1210405418860
1360055939a1
14311bb45400
1519c8332c60
hexed2078bc8

63653252040 has 576 divisors, whose sum is σ = 254969208000. Its totient is φ = 13693639680.

The previous prime is 63653252011. The next prime is 63653252057. The reversal of 63653252040 is 4025235636.

63653252040 is a `hidden beast` number, since 6 + 3 + 65 + 32 + 520 + 40 = 666.

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 = 63653251986 and 63653252004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59993110 + ... + 59994170.

It is an arithmetic number, because the mean of its divisors is an integer number (442654875).

Almost surely, 263653252040 is an apocalyptic number.

63653252040 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 63653252040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127484604000).

63653252040 is an abundant number, since it is smaller than the sum of its proper divisors (191315955960).

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

63653252040 is a wasteful number, since it uses less digits than its factorization.

63653252040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 63653252040 its reverse (4025235636), we get a palindrome (67678487676).

The spelling of 63653252040 in words is "sixty-three billion, six hundred fifty-three million, two hundred fifty-two thousand, forty".