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4783143665664 = 214327131973257
BaseRepresentation
bin100010110011010100110…
…0101000100000000000000
3121221021010111122221020200
41011212221211010000000
51111331334234300124
614101202412405200
71002366521222220
oct105465145040000
917837114587220
104783143665664
1115845799a2941
12653009176800
13289082773680
14127710b02080
1584649502bc9
hex459a9944000

4783143665664 has 1440 divisors, whose sum is σ = 18217109863680. Its totient is φ = 1174136684544.

The previous prime is 4783143665621. The next prime is 4783143665731. The reversal of 4783143665664 is 4665663413874.

4783143665664 is a `hidden beast` number, since 4 + 7 + 8 + 3 + 1 + 4 + 3 + 66 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18611453824 + ... + 18611454080.

Almost surely, 24783143665664 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 4783143665664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9108554931840).

4783143665664 is an abundant number, since it is smaller than the sum of its proper divisors (13433966198016).

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

4783143665664 is a wasteful number, since it uses less digits than its factorization.

4783143665664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 374 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 63.

The spelling of 4783143665664 in words is "four trillion, seven hundred eighty-three billion, one hundred forty-three million, six hundred sixty-five thousand, six hundred sixty-four".