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10878197760 = 213325231283
BaseRepresentation
bin10100010000110010…
…00010000000000000
31001002010020200222100
422020121002000000
5134234304312020
64555233310400
7533400104163
oct121031020000
931063220870
1010878197760
114682505a91
122137105400
13104491c311
14752a45ada
1543a02ea90
hex288642000

10878197760 has 336 divisors, whose sum is σ = 39378965184. Its totient is φ = 2772566016.

The previous prime is 10878197753. The next prime is 10878197761. The reversal of 10878197760 is 6779187801.

It is a junction number, because it is equal to n+sod(n) for n = 10878197697 and 10878197706.

It is not an unprimeable number, because it can be changed into a prime (10878197761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8478079 + ... + 8479361.

Almost surely, 210878197760 is an apocalyptic number.

10878197760 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 10878197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19689482592).

10878197760 is an abundant number, since it is smaller than the sum of its proper divisors (28500767424).

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

10878197760 is a wasteful number, since it uses less digits than its factorization.

10878197760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 54.

The spelling of 10878197760 in words is "ten billion, eight hundred seventy-eight million, one hundred ninety-seven thousand, seven hundred sixty".