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164315344128 = 2831321417687
BaseRepresentation
bin1001100100000111110…
…1010010110100000000
3120201010102022100021020
42121001331102310000
510143004212003003
6203252504025440
714604613244265
oct2310175226400
9521112270236
10164315344128
116375a801071
1227a18a62280
13126582cc2a0
147d4aab326c
15441a752d53
hex2641f52d00

164315344128 has 144 divisors (see below), whose sum is σ = 471239588736. Its totient is φ = 50528378880.

The previous prime is 164315344117. The next prime is 164315344181. The reversal of 164315344128 is 821443513461.

It is a self number, because there is not a number n which added to its sum of digits gives 164315344128.

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, 21371901 + ... + 21379587.

It is an arithmetic number, because the mean of its divisors is an integer number (3272497144).

Almost surely, 2164315344128 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 164315344128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235619794368).

164315344128 is an abundant number, since it is smaller than the sum of its proper divisors (306924244608).

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

164315344128 is a wasteful number, since it uses less digits than its factorization.

164315344128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9860 (or 9846 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

Adding to 164315344128 its reverse (821443513461), we get a palindrome (985758857589).

The spelling of 164315344128 in words is "one hundred sixty-four billion, three hundred fifteen million, three hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2141 2496 3328 4282 4992 6423 7687 8564 9984 12846 15374 17128 23061 25692 27833 30748 34256 46122 51384 55666 61496 68512 83499 92244 99931 102768 111332 122992 137024 166998 184488 199862 205536 222664 245984 274048 299793 333996 368976 399724 411072 445328 491968 548096 599586 667992 737952 799448 822144 890656 983936 1199172 1335984 1475904 1598896 1644288 1781312 1967872 2398344 2671968 2951808 3197792 3562624 4796688 5343936 5903616 6395584 7125248 9593376 10687872 12791168 16457867 19186752 21375744 25582336 32915734 38373504 49373601 65831468 76747008 98747202 131662936 197494404 213952271 263325872 394988808 427904542 526651744 641856813 789977616 855809084 1053303488 1283713626 1579955232 1711618168 2106606976 2567427252 3159910464 3423236336 4213213952 5134854504 6319820928 6846472672 10269709008 12639641856 13692945344 20539418016 27385890688 41078836032 54771781376 82157672064 164315344128