Search a number
-
+
82836405344 = 2571133618671
BaseRepresentation
bin100110100100101101…
…1110011110001100000
321220211000022101122202
41031021123303301200
52324122104432334
6102015435352332
75661522553640
oct1151133636140
9256730271582
1082836405344
1132148a9a430
12140798b26a8
137a7196a684
14401b758520
15224c4ea17e
hex13496f3c60

82836405344 has 48 divisors (see below), whose sum is σ = 203325728256. Its totient is φ = 32273923200.

The previous prime is 82836405319. The next prime is 82836405437. The reversal of 82836405344 is 44350463828.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16806872 + ... + 16811799.

It is an arithmetic number, because the mean of its divisors is an integer number (4235952672).

Almost surely, 282836405344 is an apocalyptic number.

It is an amenable number.

82836405344 is an abundant number, since it is smaller than the sum of its proper divisors (120489322912).

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

82836405344 is a wasteful number, since it uses less digits than its factorization.

82836405344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33618699 (or 33618691 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 47.

The spelling of 82836405344 in words is "eighty-two billion, eight hundred thirty-six million, four hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 33618671 67237342 134474684 235330697 268949368 369805381 470661394 537898736 739610762 941322788 1075797472 1479221524 1882645576 2588637667 2958443048 3765291152 5177275334 5916886096 7530582304 10354550668 11833772192 20709101336 41418202672 82836405344