Search a number
-
+
16146020064 = 253537434271
BaseRepresentation
bin11110000100110000…
…01011011011100000
31112200020120210200010
433002120023123200
5231031340120224
611230053124520
71111053622536
oct170230133340
945606523603
1016146020064
116936009939
123167329740
1316a40c0735
14ad2502156
1564773ae29
hex3c260b6e0

16146020064 has 96 divisors (see below), whose sum is σ = 43251231744. Its totient is φ = 5272117760.

The previous prime is 16146020039. The next prime is 16146020087. The reversal of 16146020064 is 46002064161.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3778249 + ... + 3782519.

It is an arithmetic number, because the mean of its divisors is an integer number (450533664).

Almost surely, 216146020064 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 16146020064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21625615872).

16146020064 is an abundant number, since it is smaller than the sum of its proper divisors (27105211680).

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

16146020064 is a wasteful number, since it uses less digits than its factorization.

16146020064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5080 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 16146020064 in words is "sixteen billion, one hundred forty-six million, twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 743 848 1272 1486 1696 2229 2544 2972 4271 4458 5088 5944 8542 8916 11888 12813 17084 17832 23776 25626 34168 35664 39379 51252 68336 71328 78758 102504 118137 136672 157516 205008 226363 236274 315032 410016 452726 472548 630064 679089 905452 945096 1260128 1358178 1810904 1890192 2716356 3173353 3621808 3780384 5432712 6346706 7243616 9520059 10865424 12693412 19040118 21730848 25386824 38080236 50773648 76160472 101547296 152320944 168187709 304641888 336375418 504563127 672750836 1009126254 1345501672 2018252508 2691003344 4036505016 5382006688 8073010032 16146020064