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10873616832 = 2632132373019
BaseRepresentation
bin10100010000001111…
…00011100111000000
31001001210121222010100
422020013203213000
5134232121214312
64554551202400
7533313134541
oct121007434700
931053558110
1010873616832
11467a9672a1
122135676400
1310439a7200
147521b24c8
154399275dc
hex2881e39c0

10873616832 has 252 divisors, whose sum is σ = 34672783080. Its totient is φ = 3254224896.

The previous prime is 10873616813. The next prime is 10873616861. The reversal of 10873616832 is 23861637801.

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 35 ways as a sum of consecutive naturals, for example, 3600219 + ... + 3603237.

Almost surely, 210873616832 is an apocalyptic number.

10873616832 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 10873616832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336391540).

10873616832 is an abundant number, since it is smaller than the sum of its proper divisors (23799166248).

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

10873616832 is a wasteful number, since it uses less digits than its factorization.

10873616832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10873616832 in words is "ten billion, eight hundred seventy-three million, six hundred sixteen thousand, eight hundred thirty-two".