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164345622253312 = 2829211223470471
BaseRepresentation
bin100101010111100010110010…
…011011110100111100000000
3210112220021202222122101001211
4211113202302123310330000
5133020114313244101222
61341311200411335504
746421402504026363
oct4527426233647400
9715807688571054
10164345622253312
114840265030a325
1216523348451594
13709195841a406
142c82528b560da
151400017d91277
hex9578b26f4f00

164345622253312 has 144 divisors (see below), whose sum is σ = 342499400570880. Its totient is φ = 78608988057600.

The previous prime is 164345622253279. The next prime is 164345622253363. The reversal of 164345622253312 is 213352226543461.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349086237 + ... + 349556707.

It is an arithmetic number, because the mean of its divisors is an integer number (2378468059520).

Almost surely, 2164345622253312 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 164345622253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171249700285440).

164345622253312 is an abundant number, since it is smaller than the sum of its proper divisors (178153778317568).

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

164345622253312 is a wasteful number, since it uses less digits than its factorization.

164345622253312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470950 (or 470936 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 49.

Adding to 164345622253312 its reverse (213352226543461), we get a palindrome (377697848796773).

The spelling of 164345622253312 in words is "one hundred sixty-four trillion, three hundred forty-five billion, six hundred twenty-two million, two hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 211 223 232 256 422 446 464 844 892 928 1688 1784 1856 3376 3568 3712 6119 6467 6752 7136 7424 12238 12934 13504 14272 24476 25868 27008 28544 47053 48952 51736 54016 57088 94106 97904 103472 188212 195808 206944 376424 391616 413888 470471 752848 783232 827776 940942 1364537 1505696 1566464 1655552 1881884 2729074 3011392 3763768 5458148 6022784 7527536 10916296 12045568 13643659 15055072 21832592 27287318 30110144 43665184 54574636 60220288 87330368 99269381 104915033 109149272 120440576 174660736 198538762 209830066 218298544 349321472 397077524 419660132 436597088 794155048 839320264 873194176 1588310096 1678640528 1746388352 2878812049 3042535957 3176620192 3357281056 3492776704 5757624098 6085071914 6353240384 6714562112 11515248196 12170143828 12706480768 13429124224 22137071963 23030496392 24340287656 25412961536 26858248448 44274143926 46060992784 48680575312 88548287852 92121985568 97361150624 177096575704 184243971136 194722301248 354193151408 368487942272 389444602496 641975086927 708386302816 736975884544 778889204992 1283950173854 1416772605632 2567900347708 2833545211264 5135800695416 5667090422528 10271601390832 20543202781664 41086405563328 82172811126656 164345622253312