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112985599616 = 274727776763
BaseRepresentation
bin110100100111001110…
…1110110111010000000
3101210122011100011002122
41221032131312322000
53322343303141431
6123523241303412
711106613515341
oct1511635667200
9353564304078
10112985599616
1143a0a47530a
1219a92794b68
13a867c0b9b6
14567b91c0c8
152e14294a7b
hex1a4e776e80

112985599616 has 64 divisors (see below), whose sum is σ = 229994398080. Its totient is φ = 55262742528.

The previous prime is 112985599567. The next prime is 112985599637. The reversal of 112985599616 is 616995589211.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16703051 + ... + 16709813.

It is an arithmetic number, because the mean of its divisors is an integer number (3593662470).

Almost surely, 2112985599616 is an apocalyptic number.

112985599616 is a gapful number since it is divisible by the number (16) 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 112985599616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114997199040).

112985599616 is an abundant number, since it is smaller than the sum of its proper divisors (117008798464).

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

112985599616 is an equidigital number, since it uses as much as digits as its factorization.

112985599616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9601 (or 9589 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 62.

The spelling of 112985599616 in words is "one hundred twelve billion, nine hundred eighty-five million, five hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 2777 3008 5554 6016 6763 11108 13526 22216 27052 44432 54104 88864 108208 130519 177728 216416 261038 317861 355456 432832 522076 635722 865664 1044152 1271444 2088304 2542888 4176608 5085776 8353216 10171552 16706432 18780851 20343104 37561702 40686208 75123404 150246808 300493616 600987232 882699997 1201974464 1765399994 2403948928 3530799988 7061599976 14123199952 28246399904 56492799808 112985599616