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10798486272 = 28337534211
BaseRepresentation
bin10100000111010001…
…11101001100000000
31000212120020221101000
422003220331030000
5134103403030042
64543305012000
7531411422160
oct120350751400
930776227330
1010798486272
114641511622
122114484000
131031260362
147462165a0
1543303674c
hex283a3d300

10798486272 has 288 divisors, whose sum is σ = 37192296960. Its totient is φ = 3026350080.

The previous prime is 10798486271. The next prime is 10798486273. The reversal of 10798486272 is 27268489701.

It is a happy number.

10798486272 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 8 + 4 + 8 + 627 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10798486271) and next prime (10798486273).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10798486271) 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 31 ways as a sum of consecutive naturals, for example, 2562247 + ... + 2566457.

It is an arithmetic number, because the mean of its divisors is an integer number (129139920).

Almost surely, 210798486272 is an apocalyptic number.

10798486272 is a gapful number since it is divisible by the number (12) 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 10798486272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18596148480).

10798486272 is an abundant number, since it is smaller than the sum of its proper divisors (26393810688).

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

10798486272 is an equidigital number, since it uses as much as digits as its factorization.

10798486272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 10798486272 in words is "ten billion, seven hundred ninety-eight million, four hundred eighty-six thousand, two hundred seventy-two".