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10748998080 = 263551371009
BaseRepresentation
bin10100000001011000…
…01011000111000000
31000202010010200100000
422000230023013000
5134003220414310
64534340200000
7530240655552
oct120054130700
930663120300
1010748998080
114616590397
1220bb999000
131023c23bc2
1473d8134d2
1542da0d4c0
hex280b0b1c0

10748998080 has 336 divisors, whose sum is σ = 38659551840. Its totient is φ = 2842656768.

The previous prime is 10748998067. The next prime is 10748998081. The reversal of 10748998080 is 8089984701.

10748998080 is a `hidden beast` number, since 1 + 0 + 7 + 489 + 9 + 80 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10748998081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10652616 + ... + 10653624.

It is an arithmetic number, because the mean of its divisors is an integer number (115058190).

Almost surely, 210748998080 is an apocalyptic number.

10748998080 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 10748998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19329775920).

10748998080 is an abundant number, since it is smaller than the sum of its proper divisors (27910553760).

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

10748998080 is a wasteful number, since it uses less digits than its factorization.

10748998080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 10748998080 in words is "ten billion, seven hundred forty-eight million, nine hundred ninety-eight thousand, eighty".