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10470848256 = 283211223271
BaseRepresentation
bin10011100000001110…
…00111011100000000
31000000201202012111200
421300013013130000
5132421014121011
64451002341200
7520322512251
oct116007073400
930021665450
1010470848256
114493580300
1220427ba800
13cab4066cb
147148cab28
154143b8856
hex2701c7700

10470848256 has 486 divisors, whose sum is σ = 35178192504. Its totient is φ = 2992281600.

The previous prime is 10470848243. The next prime is 10470848303. The reversal of 10470848256 is 65284807401.

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 147476701 + ... + 147476771.

Almost surely, 210470848256 is an apocalyptic number.

10470848256 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 10470848256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17589096252).

10470848256 is an abundant number, since it is smaller than the sum of its proper divisors (24707344248).

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

10470848256 is a wasteful number, since it uses less digits than its factorization.

10470848256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 10470848256 in words is "ten billion, four hundred seventy million, eight hundred forty-eight thousand, two hundred fifty-six".