Search a number
-
+
2161620156344 = 23111312833531877
BaseRepresentation
bin11111011101001010100…
…110011111111110111000
321122122112000200110122112
4133131022212133332320
5240403444230000334
64333011245511452
7312112651111115
oct37351246377670
97578460613575
102161620156344
11763813252430
122aab2a272588
13128abc37338c
14768a162390c
153b366ceb4ce
hex1f74a99ffb8

2161620156344 has 128 divisors (see below), whose sum is σ = 4486045006080. Its totient is φ = 968340172800.

The previous prime is 2161620156343. The next prime is 2161620156373. The reversal of 2161620156344 is 4436510261612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161620156343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1151634734 + ... + 1151636610.

It is an arithmetic number, because the mean of its divisors is an integer number (35047226610).

Almost surely, 22161620156344 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 2161620156344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243022503040).

2161620156344 is an abundant number, since it is smaller than the sum of its proper divisors (2324424849736).

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

2161620156344 is a wasteful number, since it uses less digits than its factorization.

2161620156344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 2161620156344 in words is "two trillion, one hundred sixty-one billion, six hundred twenty million, one hundred fifty-six thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 131 262 283 353 524 566 706 1048 1132 1412 1441 1877 2264 2824 2882 3113 3754 3883 5764 6226 7508 7766 11528 12452 15016 15532 20647 24904 31064 37073 41294 46243 74146 82588 92486 99899 148292 165176 184972 199798 245887 296584 369944 399596 407803 491774 508673 531191 662581 799192 815606 983548 1017346 1062382 1098889 1325162 1631212 1967096 2034692 2124764 2197778 2650324 2704757 3262424 4069384 4249528 4395556 5300648 5409514 5843101 7288391 8791112 10819028 11686202 13086769 14576782 21638056 23372404 26173538 29153564 46744808 52347076 58307128 69586021 86798111 104694152 139172042 143954459 173596222 187510423 278344084 287908918 347192444 375020846 556688168 575817836 694384888 750041692 765446231 954779221 1151635672 1500083384 1530892462 1909558442 2062614653 3061784924 3819116884 4125229306 6123569848 7638233768 8250458612 16500917224 24563865413 49127730826 98255461652 196510923304 270202519543 540405039086 1080810078172 2161620156344