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10471420800 = 27345271569
BaseRepresentation
bin10011100000010010…
…10011001110000000
31000000202211021220000
421300021103032000
5132421140431200
64451022520000
7520330415421
oct116011231600
930022737800
1010471420800
114493931485
122042a36000
13cab5771a9
147149d9648
1541447d300
hex270253380

10471420800 has 480 divisors, whose sum is σ = 39254965200. Its totient is φ = 2748211200.

The previous prime is 10471420783. The next prime is 10471420807. The reversal of 10471420800 is 802417401.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10471420807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18402916 + ... + 18403484.

Almost surely, 210471420800 is an apocalyptic number.

10471420800 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 10471420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19627482600).

10471420800 is an abundant number, since it is smaller than the sum of its proper divisors (28783544400).

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

10471420800 is an equidigital number, since it uses as much as digits as its factorization.

10471420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 10471420800 in words is "ten billion, four hundred seventy-one million, four hundred twenty thousand, eight hundred".