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164461211160 = 23353153834151
BaseRepresentation
bin1001100100101010100…
…1101110111000011000
3120201111120210011012220
42121022221232320120
510143304032224120
6203315154304040
714611334141511
oct2311251567030
9521446704186
10164461211160
1163825080134
1227a59888020
131267c5b1c3c
147d62203a08
154428467b40
hex264aa6ee18

164461211160 has 128 divisors (see below), whose sum is σ = 518909276160. Its totient is φ = 41640768000.

The previous prime is 164461211141. The next prime is 164461211203. The reversal of 164461211160 is 61112164461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219916 + ... + 614235.

It is an arithmetic number, because the mean of its divisors is an integer number (4053978720).

Almost surely, 2164461211160 is an apocalyptic number.

164461211160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164461211160 is an abundant number, since it is smaller than the sum of its proper divisors (354448065000).

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

164461211160 is a wasteful number, since it uses less digits than its factorization.

164461211160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834249 (or 834245 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 164461211160 in words is "one hundred sixty-four billion, four hundred sixty-one million, two hundred eleven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 53 60 62 93 106 120 124 155 159 186 212 248 265 310 318 372 424 465 530 620 636 744 795 930 1060 1240 1272 1590 1643 1860 2120 3180 3286 3720 4929 6360 6572 8215 9858 13144 16430 19716 24645 32860 39432 49290 65720 98580 197160 834151 1668302 2502453 3336604 4170755 5004906 6673208 8341510 10009812 12512265 16683020 20019624 25024530 25858681 33366040 44210003 50049060 51717362 77576043 88420006 100098120 103434724 129293405 132630009 155152086 176840012 206869448 221050015 258586810 265260018 310304172 353680024 387880215 442100030 517173620 530520036 620608344 663150045 775760430 884200060 1034347240 1061040072 1326300090 1370510093 1551520860 1768400120 2652600180 2741020186 3103041720 4111530279 5305200360 5482040372 6852550465 8223060558 10964080744 13705100930 16446121116 20557651395 27410201860 32892242232 41115302790 54820403720 82230605580 164461211160