Search a number
-
+
2165093039826 = 2321947459129339
BaseRepresentation
bin11111100000011001100…
…110011111111011010010
321122222111001112020011200
4133200121212133323102
5240433102304233301
64334344025452030
7312265011121623
oct37403146377322
97588431466150
102165093039826
11765235639172
122ab739341016
13129223a07312
1476b10963a4a
153b4bbb4dc86
hex1f81999fed2

2165093039826 has 96 divisors (see below), whose sum is σ = 5044264243200. Its totient is φ = 668997934560.

The previous prime is 2165093039789. The next prime is 2165093039831. The reversal of 2165093039826 is 6289303905612.

2165093039826 is a `hidden beast` number, since 2 + 16 + 509 + 30 + 3 + 98 + 2 + 6 = 666.

It is a super-2 number, since 2×21650930398262 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73781065 + ... + 73810403.

It is an arithmetic number, because the mean of its divisors is an integer number (52544419200).

Almost surely, 22165093039826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2165093039826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522132121600).

2165093039826 is an abundant number, since it is smaller than the sum of its proper divisors (2879171203374).

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

2165093039826 is a wasteful number, since it uses less digits than its factorization.

2165093039826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34004 (or 34001 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 2165093039826 in words is "two trillion, one hundred sixty-five billion, ninety-three million, thirty-nine thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 38 47 57 94 114 141 171 282 342 423 846 893 1786 2679 4591 5358 8037 9182 13773 16074 27546 29339 41319 58678 82638 87229 88017 174458 176034 215777 261687 264051 431554 523374 528102 557441 647331 785061 1114882 1294662 1378933 1570122 1672323 1941993 2757866 3344646 3883986 4099763 4136799 5016969 8199526 8273598 10033938 12299289 12410397 24598578 24820794 26199727 36897867 52399454 73795734 78599181 134695349 157198362 235797543 269390698 404086047 471595086 808172094 1212258141 2424516282 2559211631 5118423262 6330681403 7677634893 12661362806 15355269786 18992044209 23032904679 37984088418 46065809358 56976132627 113952265254 120282946657 240565893314 360848839971 721697679942 1082546519913 2165093039826