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164345122050624 = 26321259226625411
BaseRepresentation
bin100101010111100010010100…
…100111101101001001000000
3210112220020111010102102222100
4211113202110213231021000
5133020112302221104444
61341311035022310400
746421354221256454
oct4527422447551100
9715806433372870
10164345122050624
1148402413a24679
1216523228a28400
1370918a88c3ca8
142c824bc54a664
1513eeed8ed7e69
hex9578949ed240

164345122050624 has 84 divisors (see below), whose sum is σ = 471439779567120. Its totient is φ = 54738195029760.

The previous prime is 164345122050569. The next prime is 164345122050647. The reversal of 164345122050624 is 426050221543461.

It is a happy number.

164345122050624 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 4 + 5 + 12 + 2 + 0 + 5 + 0 + 624 = 666.

164345122050624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 164345122050624.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112587522 + ... + 114037889.

It is an arithmetic number, because the mean of its divisors is an integer number (5612378328180).

Almost surely, 2164345122050624 is an apocalyptic number.

It is an amenable number.

164345122050624 is an abundant number, since it is smaller than the sum of its proper divisors (307094657516496).

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

164345122050624 is a wasteful number, since it uses less digits than its factorization.

164345122050624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226626688 (or 226626675 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 164345122050624 in words is "one hundred sixty-four trillion, three hundred forty-five billion, one hundred twenty-two million, fifty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1259 2518 3777 5036 7554 10072 11331 15108 20144 22662 30216 40288 45324 60432 80576 90648 120864 181296 241728 362592 725184 226625411 453250822 679876233 906501644 1359752466 1813003288 2039628699 2719504932 3626006576 4079257398 5439009864 7252013152 8158514796 10878019728 14504026304 16317029592 21756039456 32634059184 43512078912 65268118368 130536236736 285321392449 570642784898 855964177347 1141285569796 1711928354694 2282571139592 2567892532041 3423856709388 4565142279184 5135785064082 6847713418776 9130284558368 10271570128164 13695426837552 18260569116736 20543140256328 27390853675104 41086280512656 54781707350208 82172561025312 164345122050624