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10497278016 = 2632232989307
BaseRepresentation
bin10011100011010111…
…11100000001000000
31000002120110222022200
421301223330001000
5132444300344031
64453345033200
7521063251041
oct116153740100
930076428280
1010497278016
1144a7492385
12204b625800
13cb3a2b614
1471820a8c8
154168898e6
hex271afc040

10497278016 has 336 divisors, whose sum is σ = 32951318400. Its totient is φ = 3184828416.

The previous prime is 10497278009. The next prime is 10497278047. The reversal of 10497278016 is 61087279401.

It is a happy number.

It is a super-2 number, since 2×104972780162 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34192935 + ... + 34193241.

It is an arithmetic number, because the mean of its divisors is an integer number (98069400).

Almost surely, 210497278016 is an apocalyptic number.

10497278016 is a gapful number since it is divisible by the number (16) 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 10497278016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16475659200).

10497278016 is an abundant number, since it is smaller than the sum of its proper divisors (22454040384).

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

10497278016 is a wasteful number, since it uses less digits than its factorization.

10497278016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 10497278016 in words is "ten billion, four hundred ninety-seven million, two hundred seventy-eight thousand, sixteen".