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9686746112 = 210291372381
BaseRepresentation
bin10010000010110000…
…00000010000000000
3221000002022200120112
421001120000100000
5124314301333422
64241112330452
7462021661211
oct110130002000
927002280515
109686746112
114120a087aa
121a640a3a28
13bb4b2ba44
1467c6dd408
153ba631ee2
hex241600400

9686746112 has 88 divisors (see below), whose sum is σ = 20186449560. Its totient is φ = 4640276480.

The previous prime is 9686746109. The next prime is 9686746123. The reversal of 9686746112 is 2116476869.

It can be written as a sum of positive squares in 4 ways, for example, as 48219136 + 9638526976 = 6944^2 + 98176^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4067162 + ... + 4069542.

Almost surely, 29686746112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9686746112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10093224780).

9686746112 is an abundant number, since it is smaller than the sum of its proper divisors (10499703448).

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

9686746112 is a wasteful number, since it uses less digits than its factorization.

9686746112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567 (or 2549 counting only the distinct ones).

The product of its digits is 870912, while the sum is 50.

The square root of 9686746112 is about 98421.2685957664. The cubic root of 9686746112 is about 2131.6994461727.

The spelling of 9686746112 in words is "nine billion, six hundred eighty-six million, seven hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 137 232 256 274 464 512 548 928 1024 1096 1856 2192 2381 3712 3973 4384 4762 7424 7946 8768 9524 14848 15892 17536 19048 29696 31784 35072 38096 63568 69049 70144 76192 127136 138098 140288 152384 254272 276196 304768 326197 508544 552392 609536 652394 1017088 1104784 1219072 1304788 2034176 2209568 2438144 2609576 4068352 4419136 5219152 8838272 9459713 10438304 17676544 18919426 20876608 35353088 37838852 41753216 70706176 75677704 83506432 151355408 167012864 302710816 334025728 605421632 1210843264 2421686528 4843373056 9686746112