Search a number
-
+
162014511104 = 21443534339
BaseRepresentation
bin1001011011100011010…
…0010100000000000000
3120111012001212220201022
42112320310110000000
510123301203323404
6202232313125012
714463604423265
oct2267064240000
9514161786638
10162014511104
1162789a71176
12274963b9768
131237c724c24
147bad2a926c
1543337698be
hex25b8d14000

162014511104 has 120 divisors (see below), whose sum is σ = 337888061280. Its totient is φ = 77612580864.

The previous prime is 162014511101. The next prime is 162014511151. The reversal of 162014511104 is 401115410261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162014511101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37336967 + ... + 37341305.

It is an arithmetic number, because the mean of its divisors is an integer number (2815733844).

Almost surely, 2162014511104 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 162014511104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168944030640).

162014511104 is an abundant number, since it is smaller than the sum of its proper divisors (175873550176).

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

162014511104 is an frugal number, since it uses more digits than its factorization.

162014511104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4463 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

Adding to 162014511104 its reverse (401115410261), we get a palindrome (563129921365).

The spelling of 162014511104 in words is "one hundred sixty-two billion, fourteen million, five hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 43 53 64 86 106 128 172 212 256 344 424 512 688 848 1024 1376 1696 2048 2279 2752 3392 4096 4339 4558 5504 6784 8192 8678 9116 11008 13568 16384 17356 18232 22016 27136 34712 36464 44032 54272 69424 72928 88064 108544 138848 145856 176128 186577 217088 229967 277696 291712 352256 373154 434176 459934 555392 583424 704512 746308 868352 919868 1110784 1166848 1492616 1839736 2221568 2333696 2985232 3679472 4443136 4667392 5970464 7358944 8886272 9334784 9888581 11940928 14717888 17772544 18669568 19777162 23881856 29435776 35545088 37339136 39554324 47763712 58871552 71090176 79108648 95527424 117743104 158217296 191054848 235486208 316434592 382109696 470972416 632869184 764219392 941944832 1265738368 1528438784 1883889664 2531476736 3056877568 3767779328 5062953472 10125906944 20251813888 40503627776 81007255552 162014511104