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10497024000 = 21332531767
BaseRepresentation
bin10011100011010101…
…11110000000000000
31000002120000001212200
421301222332000000
5132444214232000
64453335353200
7521061142341
oct116152760000
930076001780
1010497024000
1144a7329551
12204b522800
13cb396cb08
147181820c8
15416839500
hex271abe000

10497024000 has 672 divisors, whose sum is σ = 40667062176. Its totient is φ = 2595225600.

The previous prime is 10497023969. The next prime is 10497024007. The reversal of 10497024000 is 42079401.

It is a happy number.

It is a super-2 number, since 2×104970240002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10497024007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156671967 + ... + 156672033.

Almost surely, 210497024000 is an apocalyptic number.

10497024000 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 10497024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20333531088).

10497024000 is an abundant number, since it is smaller than the sum of its proper divisors (30170038176).

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

10497024000 is an equidigital number, since it uses as much as digits as its factorization.

10497024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10497024000 in words is "ten billion, four hundred ninety-seven million, twenty-four thousand".