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10895134080 = 273517541617
BaseRepresentation
bin10100010010110011…
…01000110110000000
31001010022010011020110
422021121220312000
5134303123242310
65001040311320
7533664053205
oct121131506600
931108104213
1010895134080
114691023546
122140912540
13104829c0cc
14754db3cac
1543b777d20
hex289668d80

10895134080 has 256 divisors, whose sum is σ = 36898752960. Its totient is φ = 2724986880.

The previous prime is 10895134067. The next prime is 10895134099. The reversal of 10895134080 is 8043159801.

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 31 ways as a sum of consecutive naturals, for example, 17657932 + ... + 17658548.

Almost surely, 210895134080 is an apocalyptic number.

10895134080 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 10895134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18449376480).

10895134080 is an abundant number, since it is smaller than the sum of its proper divisors (26003618880).

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

10895134080 is a wasteful number, since it uses less digits than its factorization.

10895134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 10895134080 in words is "ten billion, eight hundred ninety-five million, one hundred thirty-four thousand, eighty".