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48284789664 = 2531429351971
BaseRepresentation
bin101100111101111111…
…110110101110100000
311121122001100110101010
4230331333312232200
51242341401232124
634103130340520
73326353640346
oct547577665640
9147561313333
1048284789664
1119528561151
12943658a740
1347265c9177
1424a0a09996
1513c8ed9529
hexb3dff6ba0

48284789664 has 48 divisors (see below), whose sum is σ = 126836629920. Its totient is φ = 16083621120.

The previous prime is 48284789647. The next prime is 48284789743. The reversal of 48284789664 is 46698748284.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 48284789595 and 48284789604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38802 + ... + 313169.

It is an arithmetic number, because the mean of its divisors is an integer number (2642429790).

Almost surely, 248284789664 is an apocalyptic number.

It is an amenable number.

48284789664 is an abundant number, since it is smaller than the sum of its proper divisors (78551840256).

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

48284789664 is a wasteful number, since it uses less digits than its factorization.

48284789664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353413 (or 353405 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 66.

The spelling of 48284789664 in words is "forty-eight billion, two hundred eighty-four million, seven hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1429 2858 4287 5716 8574 11432 17148 22864 34296 45728 68592 137184 351971 703942 1055913 1407884 2111826 2815768 4223652 5631536 8447304 11263072 16894608 33789216 502966559 1005933118 1508899677 2011866236 3017799354 4023732472 6035598708 8047464944 12071197416 16094929888 24142394832 48284789664