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9983687712 = 2531943127291
BaseRepresentation
bin10010100110001001…
…01111110000100000
3221202210001212212120
421103010233300200
5130421311001322
64330401024240
7502255642155
oct112304576040
927683055776
109983687712
114263593389
121b27625080
13c314c872b
146a9d1822c
153d6739a5c
hex25312fc20

9983687712 has 96 divisors (see below), whose sum is σ = 28228273920. Its totient is φ = 3079399680.

The previous prime is 9983687653. The next prime is 9983687713. The reversal of 9983687712 is 2177863899.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (9983687713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14787 + ... + 142077.

It is an arithmetic number, because the mean of its divisors is an integer number (294044520).

Almost surely, 29983687712 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 9983687712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14114136960).

9983687712 is an abundant number, since it is smaller than the sum of its proper divisors (18244586208).

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

9983687712 is a wasteful number, since it uses less digits than its factorization.

9983687712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127366 (or 127358 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 60.

The square root of 9983687712 is about 99918.4052715014. The cubic root of 9983687712 is about 2153.2625938436.

The spelling of 9983687712 in words is "nine billion, nine hundred eighty-three million, six hundred eighty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 43 48 57 76 86 96 114 129 152 172 228 258 304 344 456 516 608 688 817 912 1032 1376 1634 1824 2064 2451 3268 4128 4902 6536 9804 13072 19608 26144 39216 78432 127291 254582 381873 509164 763746 1018328 1527492 2036656 2418529 3054984 4073312 4837058 5473513 6109968 7255587 9674116 10947026 12219936 14511174 16420539 19348232 21894052 29022348 32841078 38696464 43788104 58044696 65682156 77392928 87576208 103996747 116089392 131364312 175152416 207993494 232178784 262728624 311990241 415986988 525457248 623980482 831973976 1247960964 1663947952 2495921928 3327895904 4991843856 9983687712