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10252041304064 = 21173411492389
BaseRepresentation
bin1001010100101111110101…
…0001111011100000000000
31100022002022101102002200212
42111023331101323200000
52320432140033212224
633445420040533252
72105454066155000
oct225137521734000
940262271362625
1010252041304064
1132a295905621a
121196ab7a81228
135949c00c3a31
142762b6aac000
1512ba2c07cd0e
hex952fd47b800

10252041304064 has 384 divisors, whose sum is σ = 24663366000000. Its totient is φ = 4256016629760.

The previous prime is 10252041304061. The next prime is 10252041304067. The reversal of 10252041304064 is 46040314025201.

It is an interprime number because it is at equal distance from previous prime (10252041304061) and next prime (10252041304067).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10252041304064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10252041304061) 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, 4291351382 + ... + 4291353770.

It is an arithmetic number, because the mean of its divisors is an integer number (64227515625).

Almost surely, 210252041304064 is an apocalyptic number.

10252041304064 is a gapful number since it is divisible by the number (14) 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 10252041304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12331683000000).

10252041304064 is an abundant number, since it is smaller than the sum of its proper divisors (14411324695936).

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

10252041304064 is an equidigital number, since it uses as much as digits as its factorization.

10252041304064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 10252041304064 its reverse (46040314025201), we get a palindrome (56292355329265).

The spelling of 10252041304064 in words is "ten trillion, two hundred fifty-two billion, forty-one million, three hundred four thousand, sixty-four".