Search a number
-
+
83488345044 = 22313290745389
BaseRepresentation
bin100110111000001001…
…0110000101111010100
321222111110001100210120
41031300102300233110
52331441004020134
6102204244551540
76013630136526
oct1156022605724
9258443040716
1083488345044
1132452aa3375
12142200b25b0
137b46a50500
144080181a16
152289877649
hex13704b0bd4

83488345044 has 72 divisors (see below), whose sum is σ = 211181150880. Its totient is φ = 25659833472.

The previous prime is 83488345043. The next prime is 83488345063. The reversal of 83488345044 is 44054388438.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83488345043) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1816702 + ... + 1862090.

It is an arithmetic number, because the mean of its divisors is an integer number (2933071540).

Almost surely, 283488345044 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 83488345044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105590575440).

83488345044 is an abundant number, since it is smaller than the sum of its proper divisors (127692805836).

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

83488345044 is a wasteful number, since it uses less digits than its factorization.

83488345044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46329 (or 46314 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 51.

The spelling of 83488345044 in words is "eighty-three billion, four hundred eighty-eight million, three hundred forty-five thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 907 1014 1814 2028 2721 3628 5442 10884 11791 23582 35373 45389 47164 70746 90778 136167 141492 153283 181556 272334 306566 459849 544668 590057 613132 919698 1180114 1770171 1839396 2360228 3540342 7080684 7670741 15341482 23012223 30682964 41167823 46024446 82335646 92048892 123503469 164671292 247006938 494013876 535181699 1070363398 1605545097 2140726796 3211090194 6422180388 6957362087 13914724174 20872086261 27829448348 41744172522 83488345044