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10242262250640 = 2433572207330689
BaseRepresentation
bin1001010100001011011001…
…1001110011010010010000
31100021011001212101201022000
42111002312121303102100
52320302123114010030
633441121425514000
72104656543451110
oct225026631632220
940234055351260
1010242262250640
1132997a0030692
121195028aa2900
13593ac2115aa4
14275a2a021040
1512b6587b5860
hex950b6673490

10242262250640 has 320 divisors, whose sum is σ = 40321887091200. Its totient is φ = 2340906172416.

The previous prime is 10242262250629. The next prime is 10242262250669. The reversal of 10242262250640 is 4605226224201.

10242262250640 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 2 + 2 + 6 + 2 + 2 + 5 + 0 + 640 = 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 = 10242262250595 and 10242262250604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 333728416 + ... + 333759104.

It is an arithmetic number, because the mean of its divisors is an integer number (126005897160).

Almost surely, 210242262250640 is an apocalyptic number.

10242262250640 is a gapful number since it is divisible by the number (10) 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 10242262250640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160943545600).

10242262250640 is an abundant number, since it is smaller than the sum of its proper divisors (30079624840560).

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

10242262250640 is a wasteful number, since it uses less digits than its factorization.

10242262250640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52791 (or 52779 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 10242262250640 its reverse (4605226224201), we get a palindrome (14847488474841).

The spelling of 10242262250640 in words is "ten trillion, two hundred forty-two billion, two hundred sixty-two million, two hundred fifty thousand, six hundred forty".