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164410303002 = 2311103197293419
BaseRepresentation
bin1001100100011110011…
…1100010001000011010
3120201101000222202100120
42121013213202020122
510143203014144002
6203310135214110
714610145342311
oct2310747421032
9521330882316
10164410303002
11637a936a080
1227a44817336
1312671b9937a
147d59551278
154423c5dcbc
hex26479e221a

164410303002 has 128 divisors (see below), whose sum is σ = 366148823040. Its totient is φ = 48802871040.

The previous prime is 164410302983. The next prime is 164410303003. The reversal of 164410303002 is 200303014461.

It is a super-3 number, since 3×1644103030023 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (164410303003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392387149 + ... + 392387567.

It is an arithmetic number, because the mean of its divisors is an integer number (2860537680).

Almost surely, 2164410303002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164410303002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183074411520).

164410303002 is an abundant number, since it is smaller than the sum of its proper divisors (201738520038).

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

164410303002 is a wasteful number, since it uses less digits than its factorization.

164410303002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 164410303002 its reverse (200303014461), we get a palindrome (364713317463).

The spelling of 164410303002 in words is "one hundred sixty-four billion, four hundred ten million, three hundred three thousand, two".

Divisors: 1 2 3 6 11 22 33 66 103 197 206 293 309 394 419 586 591 618 838 879 1133 1182 1257 1758 2167 2266 2514 3223 3399 4334 4609 6446 6501 6798 9218 9669 13002 13827 19338 20291 27654 30179 40582 43157 57721 60358 60873 82543 86314 90537 115442 121746 122767 129471 165086 173163 181074 223201 245534 247629 258942 331969 346326 368301 446402 474727 495258 634931 663938 669603 736602 907973 949454 995907 1269862 1339206 1350437 1424181 1815946 1904793 1991814 2700874 2723919 2848362 3809586 4051311 5447838 5945263 8102622 8501929 11890526 12645001 17003858 17835789 24185099 25290002 25505787 35671578 37935003 48370198 51011574 65397893 72555297 75870006 93521219 130795786 139095011 145110594 187042438 196193679 266036089 278190022 280563657 392387358 417285033 532072178 561127314 798108267 834570066 1596216534 2491065197 4982130394 7473195591 14946391182 27401717167 54803434334 82205151501 164410303002