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9646485640 = 2351134962819
BaseRepresentation
bin10001111101111100…
…11011000010001000
3220220021120020120221
420332332123002020
5124224000020030
64233113355424
7461022526561
oct107676330210
926807506527
109646485640
11410020a490
121a52708b74
13ba96a378c
1467721d168
153b6d2ce7a
hex23ef9b088

9646485640 has 64 divisors (see below), whose sum is σ = 23745960000. Its totient is φ = 3497706240.

The previous prime is 9646485571. The next prime is 9646485671. The reversal of 9646485640 is 465846469.

It is a happy number.

9646485640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122151 + ... + 184969.

It is an arithmetic number, because the mean of its divisors is an integer number (371030625).

Almost surely, 29646485640 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 9646485640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11872980000).

9646485640 is an abundant number, since it is smaller than the sum of its proper divisors (14099474360).

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

9646485640 is a wasteful number, since it uses less digits than its factorization.

9646485640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63190 (or 63186 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 52.

The square root of 9646485640 is about 98216.5242716316. The cubic root of 9646485640 is about 2128.7420581117.

The spelling of 9646485640 in words is "nine billion, six hundred forty-six million, four hundred eighty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 349 440 698 1396 1745 2792 3490 3839 6980 7678 13960 15356 19195 30712 38390 62819 76780 125638 153560 251276 314095 502552 628190 691009 1256380 1382018 2512760 2764036 3455045 5528072 6910090 13820180 21923831 27640360 43847662 87695324 109619155 175390648 219238310 241162141 438476620 482324282 876953240 964648564 1205810705 1929297128 2411621410 4823242820 9646485640